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Finding the Fourth Proportional to 928.62, 1,393.41 and 686.25

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Solution

The fourth proportional to 928.62, 1,393.41 and 686.25 is: 1,029.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.62 : 1,393.41 = 686.25 : x
  2. Step 2: Convert to fraction form
    928.62/1,393.41 = 686.25/x
  3. Step 3: Cross multiply
    928.62x = 1,393.41 × 686.25
  4. Step 4: Simplify right side
    928.62x = 956,227.61
  5. Step 5: Solve for x
    x = 956,227.61/928.62
  6. Step 6: Final answer
    x = 1,029.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.