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Finding the Fourth Proportional to 1,066.62, 1,471.67 and 624.43

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Solution

The fourth proportional to 1,066.62, 1,471.67 and 624.43 is: 861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.62 : 1,471.67 = 624.43 : x
  2. Step 2: Convert to fraction form
    1,066.62/1,471.67 = 624.43/x
  3. Step 3: Cross multiply
    1,066.62x = 1,471.67 × 624.43
  4. Step 4: Simplify right side
    1,066.62x = 918,960.10
  5. Step 5: Solve for x
    x = 918,960.10/1,066.62
  6. Step 6: Final answer
    x = 861.56

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