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Finding the Fourth Proportional to 691.86, 1,037.80 and 204.92

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Solution

The fourth proportional to 691.86, 1,037.80 and 204.92 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.86 : 1,037.80 = 204.92 : x
  2. Step 2: Convert to fraction form
    691.86/1,037.80 = 204.92/x
  3. Step 3: Cross multiply
    691.86x = 1,037.80 × 204.92
  4. Step 4: Simplify right side
    691.86x = 212,665.98
  5. Step 5: Solve for x
    x = 212,665.98/691.86
  6. Step 6: Final answer
    x = 307.38

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