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Finding the Fourth Proportional to 1,140.78, 1,701.66 and 1,009.56

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Solution

The fourth proportional to 1,140.78, 1,701.66 and 1,009.56 is: 1,505.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.78 : 1,701.66 = 1,009.56 : x
  2. Step 2: Convert to fraction form
    1,140.78/1,701.66 = 1,009.56/x
  3. Step 3: Cross multiply
    1,140.78x = 1,701.66 × 1,009.56
  4. Step 4: Simplify right side
    1,140.78x = 1,717,927.87
  5. Step 5: Solve for x
    x = 1,717,927.87/1,140.78
  6. Step 6: Final answer
    x = 1,505.92

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