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Finding the Fourth Proportional to 893.53, 1,233.41 and 800.11

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Solution

The fourth proportional to 893.53, 1,233.41 and 800.11 is: 1,104.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.53 : 1,233.41 = 800.11 : x
  2. Step 2: Convert to fraction form
    893.53/1,233.41 = 800.11/x
  3. Step 3: Cross multiply
    893.53x = 1,233.41 × 800.11
  4. Step 4: Simplify right side
    893.53x = 986,863.68
  5. Step 5: Solve for x
    x = 986,863.68/893.53
  6. Step 6: Final answer
    x = 1,104.45

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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.