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Finding the Fourth Proportional to 969.97, 1,455.13 and 422.15

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Solution

The fourth proportional to 969.97, 1,455.13 and 422.15 is: 633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.97 : 1,455.13 = 422.15 : x
  2. Step 2: Convert to fraction form
    969.97/1,455.13 = 422.15/x
  3. Step 3: Cross multiply
    969.97x = 1,455.13 × 422.15
  4. Step 4: Simplify right side
    969.97x = 614,285.71
  5. Step 5: Solve for x
    x = 614,285.71/969.97
  6. Step 6: Final answer
    x = 633.31

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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.