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Finding the Fourth Proportional to 676.76, 1,015.74 and 652.86

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Solution

The fourth proportional to 676.76, 1,015.74 and 652.86 is: 979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.76 : 1,015.74 = 652.86 : x
  2. Step 2: Convert to fraction form
    676.76/1,015.74 = 652.86/x
  3. Step 3: Cross multiply
    676.76x = 1,015.74 × 652.86
  4. Step 4: Simplify right side
    676.76x = 663,136.02
  5. Step 5: Solve for x
    x = 663,136.02/676.76
  6. Step 6: Final answer
    x = 979.88

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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.