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Finding the Fourth Proportional to 727.55, 1,089.46 and 480.00

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Solution

The fourth proportional to 727.55, 1,089.46 and 480.00 is: 718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.55 : 1,089.46 = 480.00 : x
  2. Step 2: Convert to fraction form
    727.55/1,089.46 = 480.00/x
  3. Step 3: Cross multiply
    727.55x = 1,089.46 × 480.00
  4. Step 4: Simplify right side
    727.55x = 522,945.49
  5. Step 5: Solve for x
    x = 522,945.49/727.55
  6. Step 6: Final answer
    x = 718.78

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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.