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Finding the Fourth Proportional to 969.57, 1,454.96 and 392.45

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Solution

The fourth proportional to 969.57, 1,454.96 and 392.45 is: 588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.57 : 1,454.96 = 392.45 : x
  2. Step 2: Convert to fraction form
    969.57/1,454.96 = 392.45/x
  3. Step 3: Cross multiply
    969.57x = 1,454.96 × 392.45
  4. Step 4: Simplify right side
    969.57x = 570,992.76
  5. Step 5: Solve for x
    x = 570,992.76/969.57
  6. Step 6: Final answer
    x = 588.91

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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.