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Finding the Fourth Proportional to 721.24, 1,079.68 and 652.78

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Solution

The fourth proportional to 721.24, 1,079.68 and 652.78 is: 977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.24 : 1,079.68 = 652.78 : x
  2. Step 2: Convert to fraction form
    721.24/1,079.68 = 652.78/x
  3. Step 3: Cross multiply
    721.24x = 1,079.68 × 652.78
  4. Step 4: Simplify right side
    721.24x = 704,793.51
  5. Step 5: Solve for x
    x = 704,793.51/721.24
  6. Step 6: Final answer
    x = 977.20

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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.