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Finding the Fourth Proportional to 759.71, 1,139.56 and 239.74

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Solution

The fourth proportional to 759.71, 1,139.56 and 239.74 is: 359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.71 : 1,139.56 = 239.74 : x
  2. Step 2: Convert to fraction form
    759.71/1,139.56 = 239.74/x
  3. Step 3: Cross multiply
    759.71x = 1,139.56 × 239.74
  4. Step 4: Simplify right side
    759.71x = 273,194.67
  5. Step 5: Solve for x
    x = 273,194.67/759.71
  6. Step 6: Final answer
    x = 359.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.