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Finding the Fourth Proportional to 1,008.74, 1,512.16 and 392.02

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Solution

The fourth proportional to 1,008.74, 1,512.16 and 392.02 is: 587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.74 : 1,512.16 = 392.02 : x
  2. Step 2: Convert to fraction form
    1,008.74/1,512.16 = 392.02/x
  3. Step 3: Cross multiply
    1,008.74x = 1,512.16 × 392.02
  4. Step 4: Simplify right side
    1,008.74x = 592,796.96
  5. Step 5: Solve for x
    x = 592,796.96/1,008.74
  6. Step 6: Final answer
    x = 587.66

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