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Finding the Fourth Proportional to 721.58, 1,080.29 and 424.19

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Solution

The fourth proportional to 721.58, 1,080.29 and 424.19 is: 635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.58 : 1,080.29 = 424.19 : x
  2. Step 2: Convert to fraction form
    721.58/1,080.29 = 424.19/x
  3. Step 3: Cross multiply
    721.58x = 1,080.29 × 424.19
  4. Step 4: Simplify right side
    721.58x = 458,240.69
  5. Step 5: Solve for x
    x = 458,240.69/721.58
  6. Step 6: Final answer
    x = 635.06

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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.