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Finding the Fourth Proportional to 676.47, 1,013.64 and 493.02

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Solution

The fourth proportional to 676.47, 1,013.64 and 493.02 is: 738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.47 : 1,013.64 = 493.02 : x
  2. Step 2: Convert to fraction form
    676.47/1,013.64 = 493.02/x
  3. Step 3: Cross multiply
    676.47x = 1,013.64 × 493.02
  4. Step 4: Simplify right side
    676.47x = 499,744.79
  5. Step 5: Solve for x
    x = 499,744.79/676.47
  6. Step 6: Final answer
    x = 738.75

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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.