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Finding the Fourth Proportional to 1,223.11, 1,687.42 and 803.69

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Solution

The fourth proportional to 1,223.11, 1,687.42 and 803.69 is: 1,108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.11 : 1,687.42 = 803.69 : x
  2. Step 2: Convert to fraction form
    1,223.11/1,687.42 = 803.69/x
  3. Step 3: Cross multiply
    1,223.11x = 1,687.42 × 803.69
  4. Step 4: Simplify right side
    1,223.11x = 1,356,162.58
  5. Step 5: Solve for x
    x = 1,356,162.58/1,223.11
  6. Step 6: Final answer
    x = 1,108.78

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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.