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Finding the Fourth Proportional to 721.74, 1,080.45 and 577.74

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Solution

The fourth proportional to 721.74, 1,080.45 and 577.74 is: 864.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.74 : 1,080.45 = 577.74 : x
  2. Step 2: Convert to fraction form
    721.74/1,080.45 = 577.74/x
  3. Step 3: Cross multiply
    721.74x = 1,080.45 × 577.74
  4. Step 4: Simplify right side
    721.74x = 624,219.18
  5. Step 5: Solve for x
    x = 624,219.18/721.74
  6. Step 6: Final answer
    x = 864.88

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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.