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Finding the Fourth Proportional to 1,192.92, 1,786.08 and 614.56

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Solution

The fourth proportional to 1,192.92, 1,786.08 and 614.56 is: 920.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.92 : 1,786.08 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,192.92/1,786.08 = 614.56/x
  3. Step 3: Cross multiply
    1,192.92x = 1,786.08 × 614.56
  4. Step 4: Simplify right side
    1,192.92x = 1,097,653.32
  5. Step 5: Solve for x
    x = 1,097,653.32/1,192.92
  6. Step 6: Final answer
    x = 920.14

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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.