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Finding the Fourth Proportional to 834.09, 1,250.01 and 487.23

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Solution

The fourth proportional to 834.09, 1,250.01 and 487.23 is: 730.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.09 : 1,250.01 = 487.23 : x
  2. Step 2: Convert to fraction form
    834.09/1,250.01 = 487.23/x
  3. Step 3: Cross multiply
    834.09x = 1,250.01 × 487.23
  4. Step 4: Simplify right side
    834.09x = 609,042.37
  5. Step 5: Solve for x
    x = 609,042.37/834.09
  6. Step 6: Final answer
    x = 730.19

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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.