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Finding the Fourth Proportional to 801.13, 1,105.42 and 535.14

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Solution

The fourth proportional to 801.13, 1,105.42 and 535.14 is: 738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.13 : 1,105.42 = 535.14 : x
  2. Step 2: Convert to fraction form
    801.13/1,105.42 = 535.14/x
  3. Step 3: Cross multiply
    801.13x = 1,105.42 × 535.14
  4. Step 4: Simplify right side
    801.13x = 591,559.99
  5. Step 5: Solve for x
    x = 591,559.99/801.13
  6. Step 6: Final answer
    x = 738.41

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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.