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Finding the Fourth Proportional to 1,150.27, 1,587.23 and 729.88

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Solution

The fourth proportional to 1,150.27, 1,587.23 and 729.88 is: 1,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.27 : 1,587.23 = 729.88 : x
  2. Step 2: Convert to fraction form
    1,150.27/1,587.23 = 729.88/x
  3. Step 3: Cross multiply
    1,150.27x = 1,587.23 × 729.88
  4. Step 4: Simplify right side
    1,150.27x = 1,158,487.43
  5. Step 5: Solve for x
    x = 1,158,487.43/1,150.27
  6. Step 6: Final answer
    x = 1,007.14

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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.