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Finding the Fourth Proportional to 978.75, 1,470.17 and 746.83

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Solution

The fourth proportional to 978.75, 1,470.17 and 746.83 is: 1,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    978.75 : 1,470.17 = 746.83 : x
  2. Step 2: Convert to fraction form
    978.75/1,470.17 = 746.83/x
  3. Step 3: Cross multiply
    978.75x = 1,470.17 × 746.83
  4. Step 4: Simplify right side
    978.75x = 1,097,970.77
  5. Step 5: Solve for x
    x = 1,097,970.77/978.75
  6. Step 6: Final answer
    x = 1,121.81

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