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Finding the Fourth Proportional to 759.38, 1,047.97 and 460.57

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Solution

The fourth proportional to 759.38, 1,047.97 and 460.57 is: 635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.38 : 1,047.97 = 460.57 : x
  2. Step 2: Convert to fraction form
    759.38/1,047.97 = 460.57/x
  3. Step 3: Cross multiply
    759.38x = 1,047.97 × 460.57
  4. Step 4: Simplify right side
    759.38x = 482,663.54
  5. Step 5: Solve for x
    x = 482,663.54/759.38
  6. Step 6: Final answer
    x = 635.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.