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Finding the Fourth Proportional to 836.91, 1,155.42 and 557.53

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Solution

The fourth proportional to 836.91, 1,155.42 and 557.53 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,155.42 = 557.53 : x
  2. Step 2: Convert to fraction form
    836.91/1,155.42 = 557.53/x
  3. Step 3: Cross multiply
    836.91x = 1,155.42 × 557.53
  4. Step 4: Simplify right side
    836.91x = 644,181.31
  5. Step 5: Solve for x
    x = 644,181.31/836.91
  6. Step 6: Final answer
    x = 769.71

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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.