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Finding the Fourth Proportional to 667.28, 1,002.92 and 552.47

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Solution

The fourth proportional to 667.28, 1,002.92 and 552.47 is: 830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.28 : 1,002.92 = 552.47 : x
  2. Step 2: Convert to fraction form
    667.28/1,002.92 = 552.47/x
  3. Step 3: Cross multiply
    667.28x = 1,002.92 × 552.47
  4. Step 4: Simplify right side
    667.28x = 554,083.21
  5. Step 5: Solve for x
    x = 554,083.21/667.28
  6. Step 6: Final answer
    x = 830.36

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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.