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Finding the Fourth Proportional to 1,390.16, 2,084.64 and 567.92

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Solution

The fourth proportional to 1,390.16, 2,084.64 and 567.92 is: 851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.16 : 2,084.64 = 567.92 : x
  2. Step 2: Convert to fraction form
    1,390.16/2,084.64 = 567.92/x
  3. Step 3: Cross multiply
    1,390.16x = 2,084.64 × 567.92
  4. Step 4: Simplify right side
    1,390.16x = 1,183,908.75
  5. Step 5: Solve for x
    x = 1,183,908.75/1,390.16
  6. Step 6: Final answer
    x = 851.63

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