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Finding the Fourth Proportional to 961.20, 1,441.80 and 888.30

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Solution

The fourth proportional to 961.20, 1,441.80 and 888.30 is: 1,332.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.20 : 1,441.80 = 888.30 : x
  2. Step 2: Convert to fraction form
    961.20/1,441.80 = 888.30/x
  3. Step 3: Cross multiply
    961.20x = 1,441.80 × 888.30
  4. Step 4: Simplify right side
    961.20x = 1,280,750.94
  5. Step 5: Solve for x
    x = 1,280,750.94/961.20
  6. Step 6: Final answer
    x = 1,332.45

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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.