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Finding the Fourth Proportional to 1,192, 1,787.95 and 498.48

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Solution

The fourth proportional to 1,192, 1,787.95 and 498.48 is: 747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192 : 1,787.95 = 498.48 : x
  2. Step 2: Convert to fraction form
    1,192/1,787.95 = 498.48/x
  3. Step 3: Cross multiply
    1,192x = 1,787.95 × 498.48
  4. Step 4: Simplify right side
    1,192x = 891,257.32
  5. Step 5: Solve for x
    x = 891,257.32/1,192
  6. Step 6: Final answer
    x = 747.70

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