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Finding the Fourth Proportional to 801.23, 1,105.34 and 565.52

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Solution

The fourth proportional to 801.23, 1,105.34 and 565.52 is: 780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.23 : 1,105.34 = 565.52 : x
  2. Step 2: Convert to fraction form
    801.23/1,105.34 = 565.52/x
  3. Step 3: Cross multiply
    801.23x = 1,105.34 × 565.52
  4. Step 4: Simplify right side
    801.23x = 625,083.52
  5. Step 5: Solve for x
    x = 625,083.52/801.23
  6. Step 6: Final answer
    x = 780.16

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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.