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Finding the Fourth Proportional to 956.25, 1,319.55 and 557.85

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Solution

The fourth proportional to 956.25, 1,319.55 and 557.85 is: 769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.25 : 1,319.55 = 557.85 : x
  2. Step 2: Convert to fraction form
    956.25/1,319.55 = 557.85/x
  3. Step 3: Cross multiply
    956.25x = 1,319.55 × 557.85
  4. Step 4: Simplify right side
    956.25x = 736,110.97
  5. Step 5: Solve for x
    x = 736,110.97/956.25
  6. Step 6: Final answer
    x = 769.79

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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.