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Finding the Fourth Proportional to 892.50, 1,337.37 and 398.83

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Solution

The fourth proportional to 892.50, 1,337.37 and 398.83 is: 597.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.50 : 1,337.37 = 398.83 : x
  2. Step 2: Convert to fraction form
    892.50/1,337.37 = 398.83/x
  3. Step 3: Cross multiply
    892.50x = 1,337.37 × 398.83
  4. Step 4: Simplify right side
    892.50x = 533,380.95
  5. Step 5: Solve for x
    x = 533,380.95/892.50
  6. Step 6: Final answer
    x = 597.62

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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.