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Finding the Fourth Proportional to 836.80, 1,155.28 and 557.44

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Solution

The fourth proportional to 836.80, 1,155.28 and 557.44 is: 769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.80 : 1,155.28 = 557.44 : x
  2. Step 2: Convert to fraction form
    836.80/1,155.28 = 557.44/x
  3. Step 3: Cross multiply
    836.80x = 1,155.28 × 557.44
  4. Step 4: Simplify right side
    836.80x = 643,999.28
  5. Step 5: Solve for x
    x = 643,999.28/836.80
  6. Step 6: Final answer
    x = 769.60

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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.