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Finding the Fourth Proportional to 729.60, 1,092.60 and 697.20

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Solution

The fourth proportional to 729.60, 1,092.60 and 697.20 is: 1,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.60 : 1,092.60 = 697.20 : x
  2. Step 2: Convert to fraction form
    729.60/1,092.60 = 697.20/x
  3. Step 3: Cross multiply
    729.60x = 1,092.60 × 697.20
  4. Step 4: Simplify right side
    729.60x = 761,760.72
  5. Step 5: Solve for x
    x = 761,760.72/729.60
  6. Step 6: Final answer
    x = 1,044.08

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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.