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Finding the Fourth Proportional to 1,066.48, 1,471.17 and 624.31

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Solution

The fourth proportional to 1,066.48, 1,471.17 and 624.31 is: 861.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.48 : 1,471.17 = 624.31 : x
  2. Step 2: Convert to fraction form
    1,066.48/1,471.17 = 624.31/x
  3. Step 3: Cross multiply
    1,066.48x = 1,471.17 × 624.31
  4. Step 4: Simplify right side
    1,066.48x = 918,466.14
  5. Step 5: Solve for x
    x = 918,466.14/1,066.48
  6. Step 6: Final answer
    x = 861.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.