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Finding the Fourth Proportional to 886.36, 1,323.04 and 822.11

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Solution

The fourth proportional to 886.36, 1,323.04 and 822.11 is: 1,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.36 : 1,323.04 = 822.11 : x
  2. Step 2: Convert to fraction form
    886.36/1,323.04 = 822.11/x
  3. Step 3: Cross multiply
    886.36x = 1,323.04 × 822.11
  4. Step 4: Simplify right side
    886.36x = 1,087,684.41
  5. Step 5: Solve for x
    x = 1,087,684.41/886.36
  6. Step 6: Final answer
    x = 1,227.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.