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Finding the Fourth Proportional to 801.52, 1,201.69 and 314.32

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Solution

The fourth proportional to 801.52, 1,201.69 and 314.32 is: 471.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.52 : 1,201.69 = 314.32 : x
  2. Step 2: Convert to fraction form
    801.52/1,201.69 = 314.32/x
  3. Step 3: Cross multiply
    801.52x = 1,201.69 × 314.32
  4. Step 4: Simplify right side
    801.52x = 377,715.20
  5. Step 5: Solve for x
    x = 377,715.20/801.52
  6. Step 6: Final answer
    x = 471.25

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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.