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Finding the Fourth Proportional to 674.22, 1,010.42 and 490.76

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Solution

The fourth proportional to 674.22, 1,010.42 and 490.76 is: 735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.22 : 1,010.42 = 490.76 : x
  2. Step 2: Convert to fraction form
    674.22/1,010.42 = 490.76/x
  3. Step 3: Cross multiply
    674.22x = 1,010.42 × 490.76
  4. Step 4: Simplify right side
    674.22x = 495,866.21
  5. Step 5: Solve for x
    x = 495,866.21/674.22
  6. Step 6: Final answer
    x = 735.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.