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Finding the Fourth Proportional to 1,320.68, 1,978.18 and 772.32

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Solution

The fourth proportional to 1,320.68, 1,978.18 and 772.32 is: 1,156.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.68 : 1,978.18 = 772.32 : x
  2. Step 2: Convert to fraction form
    1,320.68/1,978.18 = 772.32/x
  3. Step 3: Cross multiply
    1,320.68x = 1,978.18 × 772.32
  4. Step 4: Simplify right side
    1,320.68x = 1,527,787.98
  5. Step 5: Solve for x
    x = 1,527,787.98/1,320.68
  6. Step 6: Final answer
    x = 1,156.82

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