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Finding the Fourth Proportional to 939.62, 1,296.71 and 566.71

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Solution

The fourth proportional to 939.62, 1,296.71 and 566.71 is: 782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.62 : 1,296.71 = 566.71 : x
  2. Step 2: Convert to fraction form
    939.62/1,296.71 = 566.71/x
  3. Step 3: Cross multiply
    939.62x = 1,296.71 × 566.71
  4. Step 4: Simplify right side
    939.62x = 734,856.70
  5. Step 5: Solve for x
    x = 734,856.70/939.62
  6. Step 6: Final answer
    x = 782.08

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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.