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Finding the Fourth Proportional to 1,141.04, 1,707.64 and 834.86

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Solution

The fourth proportional to 1,141.04, 1,707.64 and 834.86 is: 1,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.04 : 1,707.64 = 834.86 : x
  2. Step 2: Convert to fraction form
    1,141.04/1,707.64 = 834.86/x
  3. Step 3: Cross multiply
    1,141.04x = 1,707.64 × 834.86
  4. Step 4: Simplify right side
    1,141.04x = 1,425,640.33
  5. Step 5: Solve for x
    x = 1,425,640.33/1,141.04
  6. Step 6: Final answer
    x = 1,249.42

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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.