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Finding the Fourth Proportional to 939.64, 1,296.72 and 566.64

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Solution

The fourth proportional to 939.64, 1,296.72 and 566.64 is: 781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.64 : 1,296.72 = 566.64 : x
  2. Step 2: Convert to fraction form
    939.64/1,296.72 = 566.64/x
  3. Step 3: Cross multiply
    939.64x = 1,296.72 × 566.64
  4. Step 4: Simplify right side
    939.64x = 734,773.42
  5. Step 5: Solve for x
    x = 734,773.42/939.64
  6. Step 6: Final answer
    x = 781.97

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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.