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Finding the Fourth Proportional to 807.16, 1,105 and 801.76

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Solution

The fourth proportional to 807.16, 1,105 and 801.76 is: 1,097.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.16 : 1,105 = 801.76 : x
  2. Step 2: Convert to fraction form
    807.16/1,105 = 801.76/x
  3. Step 3: Cross multiply
    807.16x = 1,105 × 801.76
  4. Step 4: Simplify right side
    807.16x = 885,944.80
  5. Step 5: Solve for x
    x = 885,944.80/807.16
  6. Step 6: Final answer
    x = 1,097.61

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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.