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Finding the Fourth Proportional to 801.19, 1,105.14 and 535.63

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Solution

The fourth proportional to 801.19, 1,105.14 and 535.63 is: 738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.19 : 1,105.14 = 535.63 : x
  2. Step 2: Convert to fraction form
    801.19/1,105.14 = 535.63/x
  3. Step 3: Cross multiply
    801.19x = 1,105.14 × 535.63
  4. Step 4: Simplify right side
    801.19x = 591,946.14
  5. Step 5: Solve for x
    x = 591,946.14/801.19
  6. Step 6: Final answer
    x = 738.83

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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.