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Finding the Fourth Proportional to 1,188, 1,781.86 and 457.06

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Solution

The fourth proportional to 1,188, 1,781.86 and 457.06 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188 : 1,781.86 = 457.06 : x
  2. Step 2: Convert to fraction form
    1,188/1,781.86 = 457.06/x
  3. Step 3: Cross multiply
    1,188x = 1,781.86 × 457.06
  4. Step 4: Simplify right side
    1,188x = 814,416.93
  5. Step 5: Solve for x
    x = 814,416.93/1,188
  6. Step 6: Final answer
    x = 685.54

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