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Finding the Fourth Proportional to 1,294.97, 1,942.61 and 473.63

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Solution

The fourth proportional to 1,294.97, 1,942.61 and 473.63 is: 710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.97 : 1,942.61 = 473.63 : x
  2. Step 2: Convert to fraction form
    1,294.97/1,942.61 = 473.63/x
  3. Step 3: Cross multiply
    1,294.97x = 1,942.61 × 473.63
  4. Step 4: Simplify right side
    1,294.97x = 920,078.37
  5. Step 5: Solve for x
    x = 920,078.37/1,294.97
  6. Step 6: Final answer
    x = 710.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,295.97, 1,944.11 and 474.63
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.