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Finding the Fourth Proportional to 721.38, 1,080 and 584.70

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Solution

The fourth proportional to 721.38, 1,080 and 584.70 is: 875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.38 : 1,080 = 584.70 : x
  2. Step 2: Convert to fraction form
    721.38/1,080 = 584.70/x
  3. Step 3: Cross multiply
    721.38x = 1,080 × 584.70
  4. Step 4: Simplify right side
    721.38x = 631,476
  5. Step 5: Solve for x
    x = 631,476/721.38
  6. Step 6: Final answer
    x = 875.37

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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.