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Finding the Fourth Proportional to 939.80, 1,296.55 and 566.81

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Solution

The fourth proportional to 939.80, 1,296.55 and 566.81 is: 781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.80 : 1,296.55 = 566.81 : x
  2. Step 2: Convert to fraction form
    939.80/1,296.55 = 566.81/x
  3. Step 3: Cross multiply
    939.80x = 1,296.55 × 566.81
  4. Step 4: Simplify right side
    939.80x = 734,894.67
  5. Step 5: Solve for x
    x = 734,894.67/939.80
  6. Step 6: Final answer
    x = 781.97

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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.