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Finding the Fourth Proportional to 844.23, 1,158.87 and 778.62

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Solution

The fourth proportional to 844.23, 1,158.87 and 778.62 is: 1,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.23 : 1,158.87 = 778.62 : x
  2. Step 2: Convert to fraction form
    844.23/1,158.87 = 778.62/x
  3. Step 3: Cross multiply
    844.23x = 1,158.87 × 778.62
  4. Step 4: Simplify right side
    844.23x = 902,319.36
  5. Step 5: Solve for x
    x = 902,319.36/844.23
  6. Step 6: Final answer
    x = 1,068.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.