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Finding the Fourth Proportional to 668.35, 1,000.82 and 494.76

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Solution

The fourth proportional to 668.35, 1,000.82 and 494.76 is: 740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.35 : 1,000.82 = 494.76 : x
  2. Step 2: Convert to fraction form
    668.35/1,000.82 = 494.76/x
  3. Step 3: Cross multiply
    668.35x = 1,000.82 × 494.76
  4. Step 4: Simplify right side
    668.35x = 495,165.70
  5. Step 5: Solve for x
    x = 495,165.70/668.35
  6. Step 6: Final answer
    x = 740.88

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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.