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Finding the Fourth Proportional to 675.17, 1,012.70 and 212.96

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Solution

The fourth proportional to 675.17, 1,012.70 and 212.96 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.17 : 1,012.70 = 212.96 : x
  2. Step 2: Convert to fraction form
    675.17/1,012.70 = 212.96/x
  3. Step 3: Cross multiply
    675.17x = 1,012.70 × 212.96
  4. Step 4: Simplify right side
    675.17x = 215,667.66
  5. Step 5: Solve for x
    x = 215,667.66/675.17
  6. Step 6: Final answer
    x = 319.43

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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.