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Finding the Fourth Proportional to 742.80, 1,026.36 and 557.04

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Solution

The fourth proportional to 742.80, 1,026.36 and 557.04 is: 769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.80 : 1,026.36 = 557.04 : x
  2. Step 2: Convert to fraction form
    742.80/1,026.36 = 557.04/x
  3. Step 3: Cross multiply
    742.80x = 1,026.36 × 557.04
  4. Step 4: Simplify right side
    742.80x = 571,723.57
  5. Step 5: Solve for x
    x = 571,723.57/742.80
  6. Step 6: Final answer
    x = 769.69

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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.