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Finding the Fourth Proportional to 676.41, 1,014.68 and 458.52

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Solution

The fourth proportional to 676.41, 1,014.68 and 458.52 is: 687.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.41 : 1,014.68 = 458.52 : x
  2. Step 2: Convert to fraction form
    676.41/1,014.68 = 458.52/x
  3. Step 3: Cross multiply
    676.41x = 1,014.68 × 458.52
  4. Step 4: Simplify right side
    676.41x = 465,251.07
  5. Step 5: Solve for x
    x = 465,251.07/676.41
  6. Step 6: Final answer
    x = 687.82

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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.