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Finding the Fourth Proportional to 969.95, 1,454.91 and 422.12

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Solution

The fourth proportional to 969.95, 1,454.91 and 422.12 is: 633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.95 : 1,454.91 = 422.12 : x
  2. Step 2: Convert to fraction form
    969.95/1,454.91 = 422.12/x
  3. Step 3: Cross multiply
    969.95x = 1,454.91 × 422.12
  4. Step 4: Simplify right side
    969.95x = 614,146.95
  5. Step 5: Solve for x
    x = 614,146.95/969.95
  6. Step 6: Final answer
    x = 633.17

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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.