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Finding the Fourth Proportional to 668.14, 1,002.66 and 424.42

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Solution

The fourth proportional to 668.14, 1,002.66 and 424.42 is: 636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.14 : 1,002.66 = 424.42 : x
  2. Step 2: Convert to fraction form
    668.14/1,002.66 = 424.42/x
  3. Step 3: Cross multiply
    668.14x = 1,002.66 × 424.42
  4. Step 4: Simplify right side
    668.14x = 425,548.96
  5. Step 5: Solve for x
    x = 425,548.96/668.14
  6. Step 6: Final answer
    x = 636.92

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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.