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Finding the Fourth Proportional to 837.76, 1,257.44 and 513.76

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Solution

The fourth proportional to 837.76, 1,257.44 and 513.76 is: 771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.76 : 1,257.44 = 513.76 : x
  2. Step 2: Convert to fraction form
    837.76/1,257.44 = 513.76/x
  3. Step 3: Cross multiply
    837.76x = 1,257.44 × 513.76
  4. Step 4: Simplify right side
    837.76x = 646,022.37
  5. Step 5: Solve for x
    x = 646,022.37/837.76
  6. Step 6: Final answer
    x = 771.13

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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.