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Finding the Fourth Proportional to 834.48, 1,244.55 and 790.74

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Solution

The fourth proportional to 834.48, 1,244.55 and 790.74 is: 1,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.48 : 1,244.55 = 790.74 : x
  2. Step 2: Convert to fraction form
    834.48/1,244.55 = 790.74/x
  3. Step 3: Cross multiply
    834.48x = 1,244.55 × 790.74
  4. Step 4: Simplify right side
    834.48x = 984,115.47
  5. Step 5: Solve for x
    x = 984,115.47/834.48
  6. Step 6: Final answer
    x = 1,179.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.