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Finding the Fourth Proportional to 1,039.49, 1,559.21 and 834.45

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Solution

The fourth proportional to 1,039.49, 1,559.21 and 834.45 is: 1,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.49 : 1,559.21 = 834.45 : x
  2. Step 2: Convert to fraction form
    1,039.49/1,559.21 = 834.45/x
  3. Step 3: Cross multiply
    1,039.49x = 1,559.21 × 834.45
  4. Step 4: Simplify right side
    1,039.49x = 1,301,078.61
  5. Step 5: Solve for x
    x = 1,301,078.61/1,039.49
  6. Step 6: Final answer
    x = 1,251.66

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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.