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Finding the Fourth Proportional to 701.62, 1,052.82 and 458.62

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Solution

The fourth proportional to 701.62, 1,052.82 and 458.62 is: 688.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.62 : 1,052.82 = 458.62 : x
  2. Step 2: Convert to fraction form
    701.62/1,052.82 = 458.62/x
  3. Step 3: Cross multiply
    701.62x = 1,052.82 × 458.62
  4. Step 4: Simplify right side
    701.62x = 482,844.31
  5. Step 5: Solve for x
    x = 482,844.31/701.62
  6. Step 6: Final answer
    x = 688.18

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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.