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Finding the Fourth Proportional to 939.63, 1,295.97 and 566.47

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Solution

The fourth proportional to 939.63, 1,295.97 and 566.47 is: 781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.63 : 1,295.97 = 566.47 : x
  2. Step 2: Convert to fraction form
    939.63/1,295.97 = 566.47/x
  3. Step 3: Cross multiply
    939.63x = 1,295.97 × 566.47
  4. Step 4: Simplify right side
    939.63x = 734,128.13
  5. Step 5: Solve for x
    x = 734,128.13/939.63
  6. Step 6: Final answer
    x = 781.29

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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.