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Finding the Fourth Proportional to 686.34, 1,027.98 and 608.52

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Solution

The fourth proportional to 686.34, 1,027.98 and 608.52 is: 911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.34 : 1,027.98 = 608.52 : x
  2. Step 2: Convert to fraction form
    686.34/1,027.98 = 608.52/x
  3. Step 3: Cross multiply
    686.34x = 1,027.98 × 608.52
  4. Step 4: Simplify right side
    686.34x = 625,546.39
  5. Step 5: Solve for x
    x = 625,546.39/686.34
  6. Step 6: Final answer
    x = 911.42

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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.