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Finding the Fourth Proportional to 729.30, 1,092.87 and 535.98

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Solution

The fourth proportional to 729.30, 1,092.87 and 535.98 is: 803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.30 : 1,092.87 = 535.98 : x
  2. Step 2: Convert to fraction form
    729.30/1,092.87 = 535.98/x
  3. Step 3: Cross multiply
    729.30x = 1,092.87 × 535.98
  4. Step 4: Simplify right side
    729.30x = 585,756.46
  5. Step 5: Solve for x
    x = 585,756.46/729.30
  6. Step 6: Final answer
    x = 803.18

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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.