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Finding the Fourth Proportional to 727.42, 1,092.02 and 337.80

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Solution

The fourth proportional to 727.42, 1,092.02 and 337.80 is: 507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.42 : 1,092.02 = 337.80 : x
  2. Step 2: Convert to fraction form
    727.42/1,092.02 = 337.80/x
  3. Step 3: Cross multiply
    727.42x = 1,092.02 × 337.80
  4. Step 4: Simplify right side
    727.42x = 368,884.36
  5. Step 5: Solve for x
    x = 368,884.36/727.42
  6. Step 6: Final answer
    x = 507.11

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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.