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Finding the Fourth Proportional to 686.22, 1,033.44 and 624.78

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Solution

The fourth proportional to 686.22, 1,033.44 and 624.78 is: 940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.22 : 1,033.44 = 624.78 : x
  2. Step 2: Convert to fraction form
    686.22/1,033.44 = 624.78/x
  3. Step 3: Cross multiply
    686.22x = 1,033.44 × 624.78
  4. Step 4: Simplify right side
    686.22x = 645,672.64
  5. Step 5: Solve for x
    x = 645,672.64/686.22
  6. Step 6: Final answer
    x = 940.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.