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Finding the Fourth Proportional to 667.68, 1,001.52 and 378.52

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Solution

The fourth proportional to 667.68, 1,001.52 and 378.52 is: 567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.68 : 1,001.52 = 378.52 : x
  2. Step 2: Convert to fraction form
    667.68/1,001.52 = 378.52/x
  3. Step 3: Cross multiply
    667.68x = 1,001.52 × 378.52
  4. Step 4: Simplify right side
    667.68x = 379,095.35
  5. Step 5: Solve for x
    x = 379,095.35/667.68
  6. Step 6: Final answer
    x = 567.78

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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.