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Finding the Fourth Proportional to 727.25, 1,089.05 and 484.04

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Solution

The fourth proportional to 727.25, 1,089.05 and 484.04 is: 724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.25 : 1,089.05 = 484.04 : x
  2. Step 2: Convert to fraction form
    727.25/1,089.05 = 484.04/x
  3. Step 3: Cross multiply
    727.25x = 1,089.05 × 484.04
  4. Step 4: Simplify right side
    727.25x = 527,144.06
  5. Step 5: Solve for x
    x = 527,144.06/727.25
  6. Step 6: Final answer
    x = 724.85

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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.