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Finding the Fourth Proportional to 759.71, 1,139.25 and 297.43

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Solution

The fourth proportional to 759.71, 1,139.25 and 297.43 is: 446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.71 : 1,139.25 = 297.43 : x
  2. Step 2: Convert to fraction form
    759.71/1,139.25 = 297.43/x
  3. Step 3: Cross multiply
    759.71x = 1,139.25 × 297.43
  4. Step 4: Simplify right side
    759.71x = 338,845.39
  5. Step 5: Solve for x
    x = 338,845.39/759.71
  6. Step 6: Final answer
    x = 446.02

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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.