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Finding the Fourth Proportional to 676.59, 1,013.13 and 579.72

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Solution

The fourth proportional to 676.59, 1,013.13 and 579.72 is: 868.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.59 : 1,013.13 = 579.72 : x
  2. Step 2: Convert to fraction form
    676.59/1,013.13 = 579.72/x
  3. Step 3: Cross multiply
    676.59x = 1,013.13 × 579.72
  4. Step 4: Simplify right side
    676.59x = 587,328.61
  5. Step 5: Solve for x
    x = 587,328.61/676.59
  6. Step 6: Final answer
    x = 868.07

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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.