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Finding the Fourth Proportional to 1,253.09, 1,729.86 and 834.14

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Solution

The fourth proportional to 1,253.09, 1,729.86 and 834.14 is: 1,151.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.09 : 1,729.86 = 834.14 : x
  2. Step 2: Convert to fraction form
    1,253.09/1,729.86 = 834.14/x
  3. Step 3: Cross multiply
    1,253.09x = 1,729.86 × 834.14
  4. Step 4: Simplify right side
    1,253.09x = 1,442,936.77
  5. Step 5: Solve for x
    x = 1,442,936.77/1,253.09
  6. Step 6: Final answer
    x = 1,151.51

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1.5x scale

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.