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Finding the Fourth Proportional to 701.56, 1,052.10 and 458.68

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Solution

The fourth proportional to 701.56, 1,052.10 and 458.68 is: 687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.56 : 1,052.10 = 458.68 : x
  2. Step 2: Convert to fraction form
    701.56/1,052.10 = 458.68/x
  3. Step 3: Cross multiply
    701.56x = 1,052.10 × 458.68
  4. Step 4: Simplify right side
    701.56x = 482,577.23
  5. Step 5: Solve for x
    x = 482,577.23/701.56
  6. Step 6: Final answer
    x = 687.86

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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.