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Finding the Fourth Proportional to 1,160.29, 1,737.96 and 927.92

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Solution

The fourth proportional to 1,160.29, 1,737.96 and 927.92 is: 1,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.29 : 1,737.96 = 927.92 : x
  2. Step 2: Convert to fraction form
    1,160.29/1,737.96 = 927.92/x
  3. Step 3: Cross multiply
    1,160.29x = 1,737.96 × 927.92
  4. Step 4: Simplify right side
    1,160.29x = 1,612,688.71
  5. Step 5: Solve for x
    x = 1,612,688.71/1,160.29
  6. Step 6: Final answer
    x = 1,389.90

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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.