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Finding the Fourth Proportional to 1,253.06, 1,729.50 and 834.14

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Solution

The fourth proportional to 1,253.06, 1,729.50 and 834.14 is: 1,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.06 : 1,729.50 = 834.14 : x
  2. Step 2: Convert to fraction form
    1,253.06/1,729.50 = 834.14/x
  3. Step 3: Cross multiply
    1,253.06x = 1,729.50 × 834.14
  4. Step 4: Simplify right side
    1,253.06x = 1,442,645.13
  5. Step 5: Solve for x
    x = 1,442,645.13/1,253.06
  6. Step 6: Final answer
    x = 1,151.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.