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Finding the Fourth Proportional to 759.17, 1,138.65 and 296.63

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Solution

The fourth proportional to 759.17, 1,138.65 and 296.63 is: 444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.17 : 1,138.65 = 296.63 : x
  2. Step 2: Convert to fraction form
    759.17/1,138.65 = 296.63/x
  3. Step 3: Cross multiply
    759.17x = 1,138.65 × 296.63
  4. Step 4: Simplify right side
    759.17x = 337,752.06
  5. Step 5: Solve for x
    x = 337,752.06/759.17
  6. Step 6: Final answer
    x = 444.90

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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.