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Finding the Fourth Proportional to 801.52, 1,106.52 and 540.88

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Solution

The fourth proportional to 801.52, 1,106.52 and 540.88 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.52 : 1,106.52 = 540.88 : x
  2. Step 2: Convert to fraction form
    801.52/1,106.52 = 540.88/x
  3. Step 3: Cross multiply
    801.52x = 1,106.52 × 540.88
  4. Step 4: Simplify right side
    801.52x = 598,494.54
  5. Step 5: Solve for x
    x = 598,494.54/801.52
  6. Step 6: Final answer
    x = 746.70

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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.