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Finding the Fourth Proportional to 801.54, 1,203.12 and 540.72

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Solution

The fourth proportional to 801.54, 1,203.12 and 540.72 is: 811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.54 : 1,203.12 = 540.72 : x
  2. Step 2: Convert to fraction form
    801.54/1,203.12 = 540.72/x
  3. Step 3: Cross multiply
    801.54x = 1,203.12 × 540.72
  4. Step 4: Simplify right side
    801.54x = 650,551.05
  5. Step 5: Solve for x
    x = 650,551.05/801.54
  6. Step 6: Final answer
    x = 811.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.