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Finding the Fourth Proportional to 1,319.15, 1,978.71 and 538.99

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Solution

The fourth proportional to 1,319.15, 1,978.71 and 538.99 is: 808.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.15 : 1,978.71 = 538.99 : x
  2. Step 2: Convert to fraction form
    1,319.15/1,978.71 = 538.99/x
  3. Step 3: Cross multiply
    1,319.15x = 1,978.71 × 538.99
  4. Step 4: Simplify right side
    1,319.15x = 1,066,499.96
  5. Step 5: Solve for x
    x = 1,066,499.96/1,319.15
  6. Step 6: Final answer
    x = 808.47

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