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Finding the Fourth Proportional to 676.48, 1,013.92 and 493.60

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Solution

The fourth proportional to 676.48, 1,013.92 and 493.60 is: 739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.48 : 1,013.92 = 493.60 : x
  2. Step 2: Convert to fraction form
    676.48/1,013.92 = 493.60/x
  3. Step 3: Cross multiply
    676.48x = 1,013.92 × 493.60
  4. Step 4: Simplify right side
    676.48x = 500,470.91
  5. Step 5: Solve for x
    x = 500,470.91/676.48
  6. Step 6: Final answer
    x = 739.82

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