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Finding the Fourth Proportional to 801.36, 1,105.20 and 594

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Solution

The fourth proportional to 801.36, 1,105.20 and 594 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.36 : 1,105.20 = 594 : x
  2. Step 2: Convert to fraction form
    801.36/1,105.20 = 594/x
  3. Step 3: Cross multiply
    801.36x = 1,105.20 × 594
  4. Step 4: Simplify right side
    801.36x = 656,488.80
  5. Step 5: Solve for x
    x = 656,488.80/801.36
  6. Step 6: Final answer
    x = 819.22

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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.