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Finding the Fourth Proportional to 1,647.50, 2,471.25 and 431.50

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Solution

The fourth proportional to 1,647.50, 2,471.25 and 431.50 is: 647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.50 : 2,471.25 = 431.50 : x
  2. Step 2: Convert to fraction form
    1,647.50/2,471.25 = 431.50/x
  3. Step 3: Cross multiply
    1,647.50x = 2,471.25 × 431.50
  4. Step 4: Simplify right side
    1,647.50x = 1,066,344.38
  5. Step 5: Solve for x
    x = 1,066,344.38/1,647.50
  6. Step 6: Final answer
    x = 647.25

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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.