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Finding the Fourth Proportional to 1,318.87, 1,978.01 and 538.67

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Solution

The fourth proportional to 1,318.87, 1,978.01 and 538.67 is: 807.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.87 : 1,978.01 = 538.67 : x
  2. Step 2: Convert to fraction form
    1,318.87/1,978.01 = 538.67/x
  3. Step 3: Cross multiply
    1,318.87x = 1,978.01 × 538.67
  4. Step 4: Simplify right side
    1,318.87x = 1,065,486.10
  5. Step 5: Solve for x
    x = 1,065,486.10/1,318.87
  6. Step 6: Final answer
    x = 807.88

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