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Finding the Fourth Proportional to 755.58, 1,042.41 and 460.83

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Solution

The fourth proportional to 755.58, 1,042.41 and 460.83 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.58 : 1,042.41 = 460.83 : x
  2. Step 2: Convert to fraction form
    755.58/1,042.41 = 460.83/x
  3. Step 3: Cross multiply
    755.58x = 1,042.41 × 460.83
  4. Step 4: Simplify right side
    755.58x = 480,373.80
  5. Step 5: Solve for x
    x = 480,373.80/755.58
  6. Step 6: Final answer
    x = 635.77

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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.