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Finding the Fourth Proportional to 798.43, 1,102.02 and 532.88

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Solution

The fourth proportional to 798.43, 1,102.02 and 532.88 is: 735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.43 : 1,102.02 = 532.88 : x
  2. Step 2: Convert to fraction form
    798.43/1,102.02 = 532.88/x
  3. Step 3: Cross multiply
    798.43x = 1,102.02 × 532.88
  4. Step 4: Simplify right side
    798.43x = 587,244.42
  5. Step 5: Solve for x
    x = 587,244.42/798.43
  6. Step 6: Final answer
    x = 735.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.