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Finding the Fourth Proportional to 969.27, 1,454.30 and 392.55

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Solution

The fourth proportional to 969.27, 1,454.30 and 392.55 is: 588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.27 : 1,454.30 = 392.55 : x
  2. Step 2: Convert to fraction form
    969.27/1,454.30 = 392.55/x
  3. Step 3: Cross multiply
    969.27x = 1,454.30 × 392.55
  4. Step 4: Simplify right side
    969.27x = 570,881.73
  5. Step 5: Solve for x
    x = 570,881.73/969.27
  6. Step 6: Final answer
    x = 588.98

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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.