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Finding the Fourth Proportional to 755.48, 1,042.91 and 475.85

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Solution

The fourth proportional to 755.48, 1,042.91 and 475.85 is: 656.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.48 : 1,042.91 = 475.85 : x
  2. Step 2: Convert to fraction form
    755.48/1,042.91 = 475.85/x
  3. Step 3: Cross multiply
    755.48x = 1,042.91 × 475.85
  4. Step 4: Simplify right side
    755.48x = 496,261.13
  5. Step 5: Solve for x
    x = 496,261.13/755.48
  6. Step 6: Final answer
    x = 656.89

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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.