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Finding the Fourth Proportional to 1,073.31, 1,608.76 and 487.43

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Solution

The fourth proportional to 1,073.31, 1,608.76 and 487.43 is: 730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.31 : 1,608.76 = 487.43 : x
  2. Step 2: Convert to fraction form
    1,073.31/1,608.76 = 487.43/x
  3. Step 3: Cross multiply
    1,073.31x = 1,608.76 × 487.43
  4. Step 4: Simplify right side
    1,073.31x = 784,157.89
  5. Step 5: Solve for x
    x = 784,157.89/1,073.31
  6. Step 6: Final answer
    x = 730.60

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