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Finding the Fourth Proportional to 837.21, 1,253.98 and 511.59

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Solution

The fourth proportional to 837.21, 1,253.98 and 511.59 is: 766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.21 : 1,253.98 = 511.59 : x
  2. Step 2: Convert to fraction form
    837.21/1,253.98 = 511.59/x
  3. Step 3: Cross multiply
    837.21x = 1,253.98 × 511.59
  4. Step 4: Simplify right side
    837.21x = 641,523.63
  5. Step 5: Solve for x
    x = 641,523.63/837.21
  6. Step 6: Final answer
    x = 766.26

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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.