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Finding the Fourth Proportional to 837.52, 1,256.07 and 398.65

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Solution

The fourth proportional to 837.52, 1,256.07 and 398.65 is: 597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,256.07 = 398.65 : x
  2. Step 2: Convert to fraction form
    837.52/1,256.07 = 398.65/x
  3. Step 3: Cross multiply
    837.52x = 1,256.07 × 398.65
  4. Step 4: Simplify right side
    837.52x = 500,732.31
  5. Step 5: Solve for x
    x = 500,732.31/837.52
  6. Step 6: Final answer
    x = 597.88

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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.