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Finding the Fourth Proportional to 1,199.28, 1,798.84 and 468.64

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Solution

The fourth proportional to 1,199.28, 1,798.84 and 468.64 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.28 : 1,798.84 = 468.64 : x
  2. Step 2: Convert to fraction form
    1,199.28/1,798.84 = 468.64/x
  3. Step 3: Cross multiply
    1,199.28x = 1,798.84 × 468.64
  4. Step 4: Simplify right side
    1,199.28x = 843,008.38
  5. Step 5: Solve for x
    x = 843,008.38/1,199.28
  6. Step 6: Final answer
    x = 702.93

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