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Finding the Fourth Proportional to 801.98, 1,107.10 and 566.12

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Solution

The fourth proportional to 801.98, 1,107.10 and 566.12 is: 781.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.98 : 1,107.10 = 566.12 : x
  2. Step 2: Convert to fraction form
    801.98/1,107.10 = 566.12/x
  3. Step 3: Cross multiply
    801.98x = 1,107.10 × 566.12
  4. Step 4: Simplify right side
    801.98x = 626,751.45
  5. Step 5: Solve for x
    x = 626,751.45/801.98
  6. Step 6: Final answer
    x = 781.51

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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.