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Finding the Fourth Proportional to 952.20, 1,304.17 and 896.15

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Solution

The fourth proportional to 952.20, 1,304.17 and 896.15 is: 1,227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.20 : 1,304.17 = 896.15 : x
  2. Step 2: Convert to fraction form
    952.20/1,304.17 = 896.15/x
  3. Step 3: Cross multiply
    952.20x = 1,304.17 × 896.15
  4. Step 4: Simplify right side
    952.20x = 1,168,731.95
  5. Step 5: Solve for x
    x = 1,168,731.95/952.20
  6. Step 6: Final answer
    x = 1,227.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.