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Finding the Fourth Proportional to 755.74, 1,042.50 and 460.90

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Solution

The fourth proportional to 755.74, 1,042.50 and 460.90 is: 635.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.74 : 1,042.50 = 460.90 : x
  2. Step 2: Convert to fraction form
    755.74/1,042.50 = 460.90/x
  3. Step 3: Cross multiply
    755.74x = 1,042.50 × 460.90
  4. Step 4: Simplify right side
    755.74x = 480,488.25
  5. Step 5: Solve for x
    x = 480,488.25/755.74
  6. Step 6: Final answer
    x = 635.79

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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.