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Finding the Fourth Proportional to 969.91, 1,454.28 and 392.11

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Solution

The fourth proportional to 969.91, 1,454.28 and 392.11 is: 587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.91 : 1,454.28 = 392.11 : x
  2. Step 2: Convert to fraction form
    969.91/1,454.28 = 392.11/x
  3. Step 3: Cross multiply
    969.91x = 1,454.28 × 392.11
  4. Step 4: Simplify right side
    969.91x = 570,237.73
  5. Step 5: Solve for x
    x = 570,237.73/969.91
  6. Step 6: Final answer
    x = 587.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.