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Finding the Fourth Proportional to 1,139.52, 1,569.30 and 1,135.86

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Solution

The fourth proportional to 1,139.52, 1,569.30 and 1,135.86 is: 1,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.52 : 1,569.30 = 1,135.86 : x
  2. Step 2: Convert to fraction form
    1,139.52/1,569.30 = 1,135.86/x
  3. Step 3: Cross multiply
    1,139.52x = 1,569.30 × 1,135.86
  4. Step 4: Simplify right side
    1,139.52x = 1,782,505.10
  5. Step 5: Solve for x
    x = 1,782,505.10/1,139.52
  6. Step 6: Final answer
    x = 1,564.26

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