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Finding the Fourth Proportional to 1,087.78, 1,631.26 and 649.93

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Solution

The fourth proportional to 1,087.78, 1,631.26 and 649.93 is: 974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.78 : 1,631.26 = 649.93 : x
  2. Step 2: Convert to fraction form
    1,087.78/1,631.26 = 649.93/x
  3. Step 3: Cross multiply
    1,087.78x = 1,631.26 × 649.93
  4. Step 4: Simplify right side
    1,087.78x = 1,060,204.81
  5. Step 5: Solve for x
    x = 1,060,204.81/1,087.78
  6. Step 6: Final answer
    x = 974.65

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