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Finding the Fourth Proportional to 1,002.63, 1,382.34 and 834.57

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Solution

The fourth proportional to 1,002.63, 1,382.34 and 834.57 is: 1,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.63 : 1,382.34 = 834.57 : x
  2. Step 2: Convert to fraction form
    1,002.63/1,382.34 = 834.57/x
  3. Step 3: Cross multiply
    1,002.63x = 1,382.34 × 834.57
  4. Step 4: Simplify right side
    1,002.63x = 1,153,659.49
  5. Step 5: Solve for x
    x = 1,153,659.49/1,002.63
  6. Step 6: Final answer
    x = 1,150.63

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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.