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Finding the Fourth Proportional to 808.48, 1,211.36 and 778.12

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Solution

The fourth proportional to 808.48, 1,211.36 and 778.12 is: 1,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.48 : 1,211.36 = 778.12 : x
  2. Step 2: Convert to fraction form
    808.48/1,211.36 = 778.12/x
  3. Step 3: Cross multiply
    808.48x = 1,211.36 × 778.12
  4. Step 4: Simplify right side
    808.48x = 942,583.44
  5. Step 5: Solve for x
    x = 942,583.44/808.48
  6. Step 6: Final answer
    x = 1,165.87

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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.