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Finding the Fourth Proportional to 1,274.13, 1,908.45 and 834.30

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Solution

The fourth proportional to 1,274.13, 1,908.45 and 834.30 is: 1,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.13 : 1,908.45 = 834.30 : x
  2. Step 2: Convert to fraction form
    1,274.13/1,908.45 = 834.30/x
  3. Step 3: Cross multiply
    1,274.13x = 1,908.45 × 834.30
  4. Step 4: Simplify right side
    1,274.13x = 1,592,219.84
  5. Step 5: Solve for x
    x = 1,592,219.84/1,274.13
  6. Step 6: Final answer
    x = 1,249.65

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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.