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Finding the Fourth Proportional to 687.72, 949.10 and 425.88

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Solution

The fourth proportional to 687.72, 949.10 and 425.88 is: 587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.72 : 949.10 = 425.88 : x
  2. Step 2: Convert to fraction form
    687.72/949.10 = 425.88/x
  3. Step 3: Cross multiply
    687.72x = 949.10 × 425.88
  4. Step 4: Simplify right side
    687.72x = 404,202.71
  5. Step 5: Solve for x
    x = 404,202.71/687.72
  6. Step 6: Final answer
    x = 587.74

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