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Finding the Fourth Proportional to 801.88, 1,202.97 and 314.95

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Solution

The fourth proportional to 801.88, 1,202.97 and 314.95 is: 472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.88 : 1,202.97 = 314.95 : x
  2. Step 2: Convert to fraction form
    801.88/1,202.97 = 314.95/x
  3. Step 3: Cross multiply
    801.88x = 1,202.97 × 314.95
  4. Step 4: Simplify right side
    801.88x = 378,875.40
  5. Step 5: Solve for x
    x = 378,875.40/801.88
  6. Step 6: Final answer
    x = 472.48

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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.