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Finding the Fourth Proportional to 727.07, 1,089.09 and 542.24

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Solution

The fourth proportional to 727.07, 1,089.09 and 542.24 is: 812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.07 : 1,089.09 = 542.24 : x
  2. Step 2: Convert to fraction form
    727.07/1,089.09 = 542.24/x
  3. Step 3: Cross multiply
    727.07x = 1,089.09 × 542.24
  4. Step 4: Simplify right side
    727.07x = 590,545.45
  5. Step 5: Solve for x
    x = 590,545.45/727.07
  6. Step 6: Final answer
    x = 812.23

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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.