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Finding the Fourth Proportional to 1,110.86, 1,665.94 and 461.46

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Solution

The fourth proportional to 1,110.86, 1,665.94 and 461.46 is: 692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.86 : 1,665.94 = 461.46 : x
  2. Step 2: Convert to fraction form
    1,110.86/1,665.94 = 461.46/x
  3. Step 3: Cross multiply
    1,110.86x = 1,665.94 × 461.46
  4. Step 4: Simplify right side
    1,110.86x = 768,764.67
  5. Step 5: Solve for x
    x = 768,764.67/1,110.86
  6. Step 6: Final answer
    x = 692.04

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