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Finding the Fourth Proportional to 961.74, 1,327.14 and 568.70

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Solution

The fourth proportional to 961.74, 1,327.14 and 568.70 is: 784.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.74 : 1,327.14 = 568.70 : x
  2. Step 2: Convert to fraction form
    961.74/1,327.14 = 568.70/x
  3. Step 3: Cross multiply
    961.74x = 1,327.14 × 568.70
  4. Step 4: Simplify right side
    961.74x = 754,737.88
  5. Step 5: Solve for x
    x = 754,737.88/961.74
  6. Step 6: Final answer
    x = 784.76

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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.