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Finding the Fourth Proportional to 1,533.83, 2,301.08 and 559.93

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Solution

The fourth proportional to 1,533.83, 2,301.08 and 559.93 is: 840.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.83 : 2,301.08 = 559.93 : x
  2. Step 2: Convert to fraction form
    1,533.83/2,301.08 = 559.93/x
  3. Step 3: Cross multiply
    1,533.83x = 2,301.08 × 559.93
  4. Step 4: Simplify right side
    1,533.83x = 1,288,439.37
  5. Step 5: Solve for x
    x = 1,288,439.37/1,533.83
  6. Step 6: Final answer
    x = 840.02

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