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Finding the Fourth Proportional to 939.73, 1,296.76 and 566.75

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Solution

The fourth proportional to 939.73, 1,296.76 and 566.75 is: 782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.73 : 1,296.76 = 566.75 : x
  2. Step 2: Convert to fraction form
    939.73/1,296.76 = 566.75/x
  3. Step 3: Cross multiply
    939.73x = 1,296.76 × 566.75
  4. Step 4: Simplify right side
    939.73x = 734,938.73
  5. Step 5: Solve for x
    x = 734,938.73/939.73
  6. Step 6: Final answer
    x = 782.07

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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.