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Finding the Fourth Proportional to 755.34, 1,132.56 and 338.69

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Solution

The fourth proportional to 755.34, 1,132.56 and 338.69 is: 507.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.34 : 1,132.56 = 338.69 : x
  2. Step 2: Convert to fraction form
    755.34/1,132.56 = 338.69/x
  3. Step 3: Cross multiply
    755.34x = 1,132.56 × 338.69
  4. Step 4: Simplify right side
    755.34x = 383,581.08
  5. Step 5: Solve for x
    x = 383,581.08/755.34
  6. Step 6: Final answer
    x = 507.83

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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.