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Finding the Fourth Proportional to 1,233.81, 1,701.56 and 813.87

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Solution

The fourth proportional to 1,233.81, 1,701.56 and 813.87 is: 1,122.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.81 : 1,701.56 = 813.87 : x
  2. Step 2: Convert to fraction form
    1,233.81/1,701.56 = 813.87/x
  3. Step 3: Cross multiply
    1,233.81x = 1,701.56 × 813.87
  4. Step 4: Simplify right side
    1,233.81x = 1,384,844.57
  5. Step 5: Solve for x
    x = 1,384,844.57/1,233.81
  6. Step 6: Final answer
    x = 1,122.41

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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.