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Finding the Fourth Proportional to 686.96, 1,030.59 and 224.77

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Solution

The fourth proportional to 686.96, 1,030.59 and 224.77 is: 337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.96 : 1,030.59 = 224.77 : x
  2. Step 2: Convert to fraction form
    686.96/1,030.59 = 224.77/x
  3. Step 3: Cross multiply
    686.96x = 1,030.59 × 224.77
  4. Step 4: Simplify right side
    686.96x = 231,642.17
  5. Step 5: Solve for x
    x = 231,642.17/686.96
  6. Step 6: Final answer
    x = 337.20

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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.