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Finding the Fourth Proportional to 1,098.04, 1,646.94 and 577.83

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Solution

The fourth proportional to 1,098.04, 1,646.94 and 577.83 is: 866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.04 : 1,646.94 = 577.83 : x
  2. Step 2: Convert to fraction form
    1,098.04/1,646.94 = 577.83/x
  3. Step 3: Cross multiply
    1,098.04x = 1,646.94 × 577.83
  4. Step 4: Simplify right side
    1,098.04x = 951,651.34
  5. Step 5: Solve for x
    x = 951,651.34/1,098.04
  6. Step 6: Final answer
    x = 866.68

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