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Finding the Fourth Proportional to 928.87, 1,282.35 and 574.90

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Solution

The fourth proportional to 928.87, 1,282.35 and 574.90 is: 793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.87 : 1,282.35 = 574.90 : x
  2. Step 2: Convert to fraction form
    928.87/1,282.35 = 574.90/x
  3. Step 3: Cross multiply
    928.87x = 1,282.35 × 574.90
  4. Step 4: Simplify right side
    928.87x = 737,223.02
  5. Step 5: Solve for x
    x = 737,223.02/928.87
  6. Step 6: Final answer
    x = 793.68

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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.