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Finding the Fourth Proportional to 807.08, 1,216.52 and 737.96

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Solution

The fourth proportional to 807.08, 1,216.52 and 737.96 is: 1,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.08 : 1,216.52 = 737.96 : x
  2. Step 2: Convert to fraction form
    807.08/1,216.52 = 737.96/x
  3. Step 3: Cross multiply
    807.08x = 1,216.52 × 737.96
  4. Step 4: Simplify right side
    807.08x = 897,743.10
  5. Step 5: Solve for x
    x = 897,743.10/807.08
  6. Step 6: Final answer
    x = 1,112.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.