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Finding the Fourth Proportional to 759.91, 1,139.06 and 297.52

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Solution

The fourth proportional to 759.91, 1,139.06 and 297.52 is: 445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.91 : 1,139.06 = 297.52 : x
  2. Step 2: Convert to fraction form
    759.91/1,139.06 = 297.52/x
  3. Step 3: Cross multiply
    759.91x = 1,139.06 × 297.52
  4. Step 4: Simplify right side
    759.91x = 338,897.43
  5. Step 5: Solve for x
    x = 338,897.43/759.91
  6. Step 6: Final answer
    x = 445.97

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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.