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Finding the Fourth Proportional to 1,553.75, 2,330.36 and 457.85

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Solution

The fourth proportional to 1,553.75, 2,330.36 and 457.85 is: 686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.75 : 2,330.36 = 457.85 : x
  2. Step 2: Convert to fraction form
    1,553.75/2,330.36 = 457.85/x
  3. Step 3: Cross multiply
    1,553.75x = 2,330.36 × 457.85
  4. Step 4: Simplify right side
    1,553.75x = 1,066,967.75
  5. Step 5: Solve for x
    x = 1,066,967.75/1,553.75
  6. Step 6: Final answer
    x = 686.71

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