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Finding the Fourth Proportional to 1,192.71, 1,785.83 and 614.37

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Solution

The fourth proportional to 1,192.71, 1,785.83 and 614.37 is: 919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.71 : 1,785.83 = 614.37 : x
  2. Step 2: Convert to fraction form
    1,192.71/1,785.83 = 614.37/x
  3. Step 3: Cross multiply
    1,192.71x = 1,785.83 × 614.37
  4. Step 4: Simplify right side
    1,192.71x = 1,097,160.38
  5. Step 5: Solve for x
    x = 1,097,160.38/1,192.71
  6. Step 6: Final answer
    x = 919.89

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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.