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Finding the Fourth Proportional to 759.71, 1,138.38 and 450.95

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Solution

The fourth proportional to 759.71, 1,138.38 and 450.95 is: 675.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.71 : 1,138.38 = 450.95 : x
  2. Step 2: Convert to fraction form
    759.71/1,138.38 = 450.95/x
  3. Step 3: Cross multiply
    759.71x = 1,138.38 × 450.95
  4. Step 4: Simplify right side
    759.71x = 513,346.77
  5. Step 5: Solve for x
    x = 513,346.77/759.71
  6. Step 6: Final answer
    x = 675.72

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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.