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Finding the Fourth Proportional to 728.01, 1,092.24 and 289.46

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Solution

The fourth proportional to 728.01, 1,092.24 and 289.46 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.01 : 1,092.24 = 289.46 : x
  2. Step 2: Convert to fraction form
    728.01/1,092.24 = 289.46/x
  3. Step 3: Cross multiply
    728.01x = 1,092.24 × 289.46
  4. Step 4: Simplify right side
    728.01x = 316,154.33
  5. Step 5: Solve for x
    x = 316,154.33/728.01
  6. Step 6: Final answer
    x = 434.27

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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.