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Finding the Fourth Proportional to 938, 1,405.82 and 822.16

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Solution

The fourth proportional to 938, 1,405.82 and 822.16 is: 1,232.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    938 : 1,405.82 = 822.16 : x
  2. Step 2: Convert to fraction form
    938/1,405.82 = 822.16/x
  3. Step 3: Cross multiply
    938x = 1,405.82 × 822.16
  4. Step 4: Simplify right side
    938x = 1,155,808.97
  5. Step 5: Solve for x
    x = 1,155,808.97/938
  6. Step 6: Final answer
    x = 1,232.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.