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Finding the Fourth Proportional to 801.59, 1,105.13 and 636.35

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Solution

The fourth proportional to 801.59, 1,105.13 and 636.35 is: 877.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.59 : 1,105.13 = 636.35 : x
  2. Step 2: Convert to fraction form
    801.59/1,105.13 = 636.35/x
  3. Step 3: Cross multiply
    801.59x = 1,105.13 × 636.35
  4. Step 4: Simplify right side
    801.59x = 703,246.29
  5. Step 5: Solve for x
    x = 703,246.29/801.59
  6. Step 6: Final answer
    x = 877.31

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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.