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Finding the Fourth Proportional to 808.17, 1,114.34 and 749.85

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Solution

The fourth proportional to 808.17, 1,114.34 and 749.85 is: 1,033.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.17 : 1,114.34 = 749.85 : x
  2. Step 2: Convert to fraction form
    808.17/1,114.34 = 749.85/x
  3. Step 3: Cross multiply
    808.17x = 1,114.34 × 749.85
  4. Step 4: Simplify right side
    808.17x = 835,584.10
  5. Step 5: Solve for x
    x = 835,584.10/808.17
  6. Step 6: Final answer
    x = 1,033.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.