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Finding the Fourth Proportional to 939.74, 1,296.89 and 566.84

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Solution

The fourth proportional to 939.74, 1,296.89 and 566.84 is: 782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.74 : 1,296.89 = 566.84 : x
  2. Step 2: Convert to fraction form
    939.74/1,296.89 = 566.84/x
  3. Step 3: Cross multiply
    939.74x = 1,296.89 × 566.84
  4. Step 4: Simplify right side
    939.74x = 735,129.13
  5. Step 5: Solve for x
    x = 735,129.13/939.74
  6. Step 6: Final answer
    x = 782.27

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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.