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Finding the Fourth Proportional to 837.20, 1,256.70 and 817.14

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Solution

The fourth proportional to 837.20, 1,256.70 and 817.14 is: 1,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.20 : 1,256.70 = 817.14 : x
  2. Step 2: Convert to fraction form
    837.20/1,256.70 = 817.14/x
  3. Step 3: Cross multiply
    837.20x = 1,256.70 × 817.14
  4. Step 4: Simplify right side
    837.20x = 1,026,899.84
  5. Step 5: Solve for x
    x = 1,026,899.84/837.20
  6. Step 6: Final answer
    x = 1,226.59

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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.