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Finding the Fourth Proportional to 675.07, 1,011.96 and 212.52

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Solution

The fourth proportional to 675.07, 1,011.96 and 212.52 is: 318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.07 : 1,011.96 = 212.52 : x
  2. Step 2: Convert to fraction form
    675.07/1,011.96 = 212.52/x
  3. Step 3: Cross multiply
    675.07x = 1,011.96 × 212.52
  4. Step 4: Simplify right side
    675.07x = 215,065.53
  5. Step 5: Solve for x
    x = 215,065.53/675.07
  6. Step 6: Final answer
    x = 318.58

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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.