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Finding the Fourth Proportional to 966.75, 1,334.13 and 552.75

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Solution

The fourth proportional to 966.75, 1,334.13 and 552.75 is: 762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.75 : 1,334.13 = 552.75 : x
  2. Step 2: Convert to fraction form
    966.75/1,334.13 = 552.75/x
  3. Step 3: Cross multiply
    966.75x = 1,334.13 × 552.75
  4. Step 4: Simplify right side
    966.75x = 737,440.36
  5. Step 5: Solve for x
    x = 737,440.36/966.75
  6. Step 6: Final answer
    x = 762.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.