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Finding the Fourth Proportional to 800.39, 1,104.15 and 689.68

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Solution

The fourth proportional to 800.39, 1,104.15 and 689.68 is: 951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.39 : 1,104.15 = 689.68 : x
  2. Step 2: Convert to fraction form
    800.39/1,104.15 = 689.68/x
  3. Step 3: Cross multiply
    800.39x = 1,104.15 × 689.68
  4. Step 4: Simplify right side
    800.39x = 761,510.17
  5. Step 5: Solve for x
    x = 761,510.17/800.39
  6. Step 6: Final answer
    x = 951.42

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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.