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Finding the Fourth Proportional to 687.67, 948.25 and 512.71

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Solution

The fourth proportional to 687.67, 948.25 and 512.71 is: 706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.67 : 948.25 = 512.71 : x
  2. Step 2: Convert to fraction form
    687.67/948.25 = 512.71/x
  3. Step 3: Cross multiply
    687.67x = 948.25 × 512.71
  4. Step 4: Simplify right side
    687.67x = 486,177.26
  5. Step 5: Solve for x
    x = 486,177.26/687.67
  6. Step 6: Final answer
    x = 706.99

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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.