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Finding the Fourth Proportional to 1,110.72, 1,664.16 and 1,070.40

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Solution

The fourth proportional to 1,110.72, 1,664.16 and 1,070.40 is: 1,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.72 : 1,664.16 = 1,070.40 : x
  2. Step 2: Convert to fraction form
    1,110.72/1,664.16 = 1,070.40/x
  3. Step 3: Cross multiply
    1,110.72x = 1,664.16 × 1,070.40
  4. Step 4: Simplify right side
    1,110.72x = 1,781,316.86
  5. Step 5: Solve for x
    x = 1,781,316.86/1,110.72
  6. Step 6: Final answer
    x = 1,603.75

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