Home / 1,192.09-1,787.12-462.18

Finding the Fourth Proportional to 1,192.09, 1,787.12 and 462.18

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Solution

The fourth proportional to 1,192.09, 1,787.12 and 462.18 is: 692.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.09 : 1,787.12 = 462.18 : x
  2. Step 2: Convert to fraction form
    1,192.09/1,787.12 = 462.18/x
  3. Step 3: Cross multiply
    1,192.09x = 1,787.12 × 462.18
  4. Step 4: Simplify right side
    1,192.09x = 825,971.12
  5. Step 5: Solve for x
    x = 825,971.12/1,192.09
  6. Step 6: Final answer
    x = 692.88

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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.