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Finding the Fourth Proportional to 837.73, 1,254.16 and 512.11

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Solution

The fourth proportional to 837.73, 1,254.16 and 512.11 is: 766.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.73 : 1,254.16 = 512.11 : x
  2. Step 2: Convert to fraction form
    837.73/1,254.16 = 512.11/x
  3. Step 3: Cross multiply
    837.73x = 1,254.16 × 512.11
  4. Step 4: Simplify right side
    837.73x = 642,267.88
  5. Step 5: Solve for x
    x = 642,267.88/837.73
  6. Step 6: Final answer
    x = 766.68

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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.