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Finding the Fourth Proportional to 686.98, 948.06 and 425.15

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Solution

The fourth proportional to 686.98, 948.06 and 425.15 is: 586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.98 : 948.06 = 425.15 : x
  2. Step 2: Convert to fraction form
    686.98/948.06 = 425.15/x
  3. Step 3: Cross multiply
    686.98x = 948.06 × 425.15
  4. Step 4: Simplify right side
    686.98x = 403,067.71
  5. Step 5: Solve for x
    x = 403,067.71/686.98
  6. Step 6: Final answer
    x = 586.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.