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Finding the Fourth Proportional to 1,316.54, 1,974.99 and 483.63

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Solution

The fourth proportional to 1,316.54, 1,974.99 and 483.63 is: 725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.54 : 1,974.99 = 483.63 : x
  2. Step 2: Convert to fraction form
    1,316.54/1,974.99 = 483.63/x
  3. Step 3: Cross multiply
    1,316.54x = 1,974.99 × 483.63
  4. Step 4: Simplify right side
    1,316.54x = 955,164.41
  5. Step 5: Solve for x
    x = 955,164.41/1,316.54
  6. Step 6: Final answer
    x = 725.51

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Half scale
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Double scale
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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.