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Finding the Fourth Proportional to 966.76, 1,334.04 and 568.48

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Solution

The fourth proportional to 966.76, 1,334.04 and 568.48 is: 784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.76 : 1,334.04 = 568.48 : x
  2. Step 2: Convert to fraction form
    966.76/1,334.04 = 568.48/x
  3. Step 3: Cross multiply
    966.76x = 1,334.04 × 568.48
  4. Step 4: Simplify right side
    966.76x = 758,375.06
  5. Step 5: Solve for x
    x = 758,375.06/966.76
  6. Step 6: Final answer
    x = 784.45

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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.