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Finding the Fourth Proportional to 922.11, 1,382.49 and 402.09

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Solution

The fourth proportional to 922.11, 1,382.49 and 402.09 is: 602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.11 : 1,382.49 = 402.09 : x
  2. Step 2: Convert to fraction form
    922.11/1,382.49 = 402.09/x
  3. Step 3: Cross multiply
    922.11x = 1,382.49 × 402.09
  4. Step 4: Simplify right side
    922.11x = 555,885.40
  5. Step 5: Solve for x
    x = 555,885.40/922.11
  6. Step 6: Final answer
    x = 602.84

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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.