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Finding the Fourth Proportional to 759.68, 1,138.32 and 434.08

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Solution

The fourth proportional to 759.68, 1,138.32 and 434.08 is: 650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.68 : 1,138.32 = 434.08 : x
  2. Step 2: Convert to fraction form
    759.68/1,138.32 = 434.08/x
  3. Step 3: Cross multiply
    759.68x = 1,138.32 × 434.08
  4. Step 4: Simplify right side
    759.68x = 494,121.95
  5. Step 5: Solve for x
    x = 494,121.95/759.68
  6. Step 6: Final answer
    x = 650.43

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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.