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Finding the Fourth Proportional to 1,097.52, 1,645.76 and 404.06

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Solution

The fourth proportional to 1,097.52, 1,645.76 and 404.06 is: 605.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.52 : 1,645.76 = 404.06 : x
  2. Step 2: Convert to fraction form
    1,097.52/1,645.76 = 404.06/x
  3. Step 3: Cross multiply
    1,097.52x = 1,645.76 × 404.06
  4. Step 4: Simplify right side
    1,097.52x = 664,985.79
  5. Step 5: Solve for x
    x = 664,985.79/1,097.52
  6. Step 6: Final answer
    x = 605.90

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