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Finding the Fourth Proportional to 728.33, 1,092.53 and 522.38

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Solution

The fourth proportional to 728.33, 1,092.53 and 522.38 is: 783.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.33 : 1,092.53 = 522.38 : x
  2. Step 2: Convert to fraction form
    728.33/1,092.53 = 522.38/x
  3. Step 3: Cross multiply
    728.33x = 1,092.53 × 522.38
  4. Step 4: Simplify right side
    728.33x = 570,719.86
  5. Step 5: Solve for x
    x = 570,719.86/728.33
  6. Step 6: Final answer
    x = 783.61

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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.