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Finding the Fourth Proportional to 728.64, 1,092.78 and 289.74

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Solution

The fourth proportional to 728.64, 1,092.78 and 289.74 is: 434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.64 : 1,092.78 = 289.74 : x
  2. Step 2: Convert to fraction form
    728.64/1,092.78 = 289.74/x
  3. Step 3: Cross multiply
    728.64x = 1,092.78 × 289.74
  4. Step 4: Simplify right side
    728.64x = 316,622.08
  5. Step 5: Solve for x
    x = 316,622.08/728.64
  6. Step 6: Final answer
    x = 434.54

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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.