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Finding the Fourth Proportional to 834.65, 1,250.77 and 604.03

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Solution

The fourth proportional to 834.65, 1,250.77 and 604.03 is: 905.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.65 : 1,250.77 = 604.03 : x
  2. Step 2: Convert to fraction form
    834.65/1,250.77 = 604.03/x
  3. Step 3: Cross multiply
    834.65x = 1,250.77 × 604.03
  4. Step 4: Simplify right side
    834.65x = 755,503.26
  5. Step 5: Solve for x
    x = 755,503.26/834.65
  6. Step 6: Final answer
    x = 905.17

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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.