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Finding the Fourth Proportional to 922.11, 1,381.83 and 532.09

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Solution

The fourth proportional to 922.11, 1,381.83 and 532.09 is: 797.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.11 : 1,381.83 = 532.09 : x
  2. Step 2: Convert to fraction form
    922.11/1,381.83 = 532.09/x
  3. Step 3: Cross multiply
    922.11x = 1,381.83 × 532.09
  4. Step 4: Simplify right side
    922.11x = 735,257.92
  5. Step 5: Solve for x
    x = 735,257.92/922.11
  6. Step 6: Final answer
    x = 797.36

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