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Finding the Fourth Proportional to 755.66, 1,042.44 and 475.76

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Solution

The fourth proportional to 755.66, 1,042.44 and 475.76 is: 656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.66 : 1,042.44 = 475.76 : x
  2. Step 2: Convert to fraction form
    755.66/1,042.44 = 475.76/x
  3. Step 3: Cross multiply
    755.66x = 1,042.44 × 475.76
  4. Step 4: Simplify right side
    755.66x = 495,951.25
  5. Step 5: Solve for x
    x = 495,951.25/755.66
  6. Step 6: Final answer
    x = 656.32

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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.