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Finding the Fourth Proportional to 759, 1,138.50 and 296.65

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Solution

The fourth proportional to 759, 1,138.50 and 296.65 is: 444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    759 : 1,138.50 = 296.65 : x
  2. Step 2: Convert to fraction form
    759/1,138.50 = 296.65/x
  3. Step 3: Cross multiply
    759x = 1,138.50 × 296.65
  4. Step 4: Simplify right side
    759x = 337,736.03
  5. Step 5: Solve for x
    x = 337,736.03/759
  6. Step 6: Final answer
    x = 444.98

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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.