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Finding the Fourth Proportional to 801, 1,201.62 and 288.12

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Solution

The fourth proportional to 801, 1,201.62 and 288.12 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    801 : 1,201.62 = 288.12 : x
  2. Step 2: Convert to fraction form
    801/1,201.62 = 288.12/x
  3. Step 3: Cross multiply
    801x = 1,201.62 × 288.12
  4. Step 4: Simplify right side
    801x = 346,210.75
  5. Step 5: Solve for x
    x = 346,210.75/801
  6. Step 6: Final answer
    x = 432.22

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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.