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Finding the Fourth Proportional to 960.75, 1,440.27 and 549.30

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Solution

The fourth proportional to 960.75, 1,440.27 and 549.30 is: 823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.75 : 1,440.27 = 549.30 : x
  2. Step 2: Convert to fraction form
    960.75/1,440.27 = 549.30/x
  3. Step 3: Cross multiply
    960.75x = 1,440.27 × 549.30
  4. Step 4: Simplify right side
    960.75x = 791,140.31
  5. Step 5: Solve for x
    x = 791,140.31/960.75
  6. Step 6: Final answer
    x = 823.46

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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.