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Finding the Fourth Proportional to 1,105.73, 1,656.99 and 714.80

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Solution

The fourth proportional to 1,105.73, 1,656.99 and 714.80 is: 1,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.73 : 1,656.99 = 714.80 : x
  2. Step 2: Convert to fraction form
    1,105.73/1,656.99 = 714.80/x
  3. Step 3: Cross multiply
    1,105.73x = 1,656.99 × 714.80
  4. Step 4: Simplify right side
    1,105.73x = 1,184,416.45
  5. Step 5: Solve for x
    x = 1,184,416.45/1,105.73
  6. Step 6: Final answer
    x = 1,071.16

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