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Finding the Fourth Proportional to 837.79, 1,257.22 and 512.50

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Solution

The fourth proportional to 837.79, 1,257.22 and 512.50 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.79 : 1,257.22 = 512.50 : x
  2. Step 2: Convert to fraction form
    837.79/1,257.22 = 512.50/x
  3. Step 3: Cross multiply
    837.79x = 1,257.22 × 512.50
  4. Step 4: Simplify right side
    837.79x = 644,325.25
  5. Step 5: Solve for x
    x = 644,325.25/837.79
  6. Step 6: Final answer
    x = 769.08

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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.