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Finding the Fourth Proportional to 801.98, 1,106.16 and 636.14

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Solution

The fourth proportional to 801.98, 1,106.16 and 636.14 is: 877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.98 : 1,106.16 = 636.14 : x
  2. Step 2: Convert to fraction form
    801.98/1,106.16 = 636.14/x
  3. Step 3: Cross multiply
    801.98x = 1,106.16 × 636.14
  4. Step 4: Simplify right side
    801.98x = 703,672.62
  5. Step 5: Solve for x
    x = 703,672.62/801.98
  6. Step 6: Final answer
    x = 877.42

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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.