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Finding the Fourth Proportional to 680.29, 1,018.11 and 472.12

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Solution

The fourth proportional to 680.29, 1,018.11 and 472.12 is: 706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.29 : 1,018.11 = 472.12 : x
  2. Step 2: Convert to fraction form
    680.29/1,018.11 = 472.12/x
  3. Step 3: Cross multiply
    680.29x = 1,018.11 × 472.12
  4. Step 4: Simplify right side
    680.29x = 480,667.73
  5. Step 5: Solve for x
    x = 480,667.73/680.29
  6. Step 6: Final answer
    x = 706.57

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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.