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Finding the Fourth Proportional to 939.58, 1,296.67 and 566.71

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Solution

The fourth proportional to 939.58, 1,296.67 and 566.71 is: 782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.58 : 1,296.67 = 566.71 : x
  2. Step 2: Convert to fraction form
    939.58/1,296.67 = 566.71/x
  3. Step 3: Cross multiply
    939.58x = 1,296.67 × 566.71
  4. Step 4: Simplify right side
    939.58x = 734,835.86
  5. Step 5: Solve for x
    x = 734,835.86/939.58
  6. Step 6: Final answer
    x = 782.09

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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.