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Finding the Fourth Proportional to 837.92, 1,257.62 and 448.24

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Solution

The fourth proportional to 837.92, 1,257.62 and 448.24 is: 672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.92 : 1,257.62 = 448.24 : x
  2. Step 2: Convert to fraction form
    837.92/1,257.62 = 448.24/x
  3. Step 3: Cross multiply
    837.92x = 1,257.62 × 448.24
  4. Step 4: Simplify right side
    837.92x = 563,715.59
  5. Step 5: Solve for x
    x = 563,715.59/837.92
  6. Step 6: Final answer
    x = 672.76

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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.