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Finding the Fourth Proportional to 1,158.38, 1,737.56 and 280.88

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Solution

The fourth proportional to 1,158.38, 1,737.56 and 280.88 is: 421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.38 : 1,737.56 = 280.88 : x
  2. Step 2: Convert to fraction form
    1,158.38/1,737.56 = 280.88/x
  3. Step 3: Cross multiply
    1,158.38x = 1,737.56 × 280.88
  4. Step 4: Simplify right side
    1,158.38x = 488,035.76
  5. Step 5: Solve for x
    x = 488,035.76/1,158.38
  6. Step 6: Final answer
    x = 421.31

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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.