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Finding the Fourth Proportional to 966.85, 1,334.20 and 568.46

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Solution

The fourth proportional to 966.85, 1,334.20 and 568.46 is: 784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.85 : 1,334.20 = 568.46 : x
  2. Step 2: Convert to fraction form
    966.85/1,334.20 = 568.46/x
  3. Step 3: Cross multiply
    966.85x = 1,334.20 × 568.46
  4. Step 4: Simplify right side
    966.85x = 758,439.33
  5. Step 5: Solve for x
    x = 758,439.33/966.85
  6. Step 6: Final answer
    x = 784.44

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Why These Related Problems?

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