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Finding the Fourth Proportional to 969.85, 1,454.19 and 421.75

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Solution

The fourth proportional to 969.85, 1,454.19 and 421.75 is: 632.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.85 : 1,454.19 = 421.75 : x
  2. Step 2: Convert to fraction form
    969.85/1,454.19 = 421.75/x
  3. Step 3: Cross multiply
    969.85x = 1,454.19 × 421.75
  4. Step 4: Simplify right side
    969.85x = 613,304.63
  5. Step 5: Solve for x
    x = 613,304.63/969.85
  6. Step 6: Final answer
    x = 632.37

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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.