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Finding the Fourth Proportional to 708.57, 1,062.89 and 434.49

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Solution

The fourth proportional to 708.57, 1,062.89 and 434.49 is: 651.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.57 : 1,062.89 = 434.49 : x
  2. Step 2: Convert to fraction form
    708.57/1,062.89 = 434.49/x
  3. Step 3: Cross multiply
    708.57x = 1,062.89 × 434.49
  4. Step 4: Simplify right side
    708.57x = 461,812.90
  5. Step 5: Solve for x
    x = 461,812.90/708.57
  6. Step 6: Final answer
    x = 651.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.