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Finding the Fourth Proportional to 801.68, 1,104.96 and 565.68

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Solution

The fourth proportional to 801.68, 1,104.96 and 565.68 is: 779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.68 : 1,104.96 = 565.68 : x
  2. Step 2: Convert to fraction form
    801.68/1,104.96 = 565.68/x
  3. Step 3: Cross multiply
    801.68x = 1,104.96 × 565.68
  4. Step 4: Simplify right side
    801.68x = 625,053.77
  5. Step 5: Solve for x
    x = 625,053.77/801.68
  6. Step 6: Final answer
    x = 779.68

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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.