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Finding the Fourth Proportional to 1,108.02, 1,663.05 and 458.80

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Solution

The fourth proportional to 1,108.02, 1,663.05 and 458.80 is: 688.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.02 : 1,663.05 = 458.80 : x
  2. Step 2: Convert to fraction form
    1,108.02/1,663.05 = 458.80/x
  3. Step 3: Cross multiply
    1,108.02x = 1,663.05 × 458.80
  4. Step 4: Simplify right side
    1,108.02x = 763,007.34
  5. Step 5: Solve for x
    x = 763,007.34/1,108.02
  6. Step 6: Final answer
    x = 688.62

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