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Finding the Fourth Proportional to 686.97, 1,030.46 and 248.54

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Solution

The fourth proportional to 686.97, 1,030.46 and 248.54 is: 372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.97 : 1,030.46 = 248.54 : x
  2. Step 2: Convert to fraction form
    686.97/1,030.46 = 248.54/x
  3. Step 3: Cross multiply
    686.97x = 1,030.46 × 248.54
  4. Step 4: Simplify right side
    686.97x = 256,104.13
  5. Step 5: Solve for x
    x = 256,104.13/686.97
  6. Step 6: Final answer
    x = 372.80

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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.