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Finding the Fourth Proportional to 659.56, 990.06 and 451.48

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Solution

The fourth proportional to 659.56, 990.06 and 451.48 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.56 : 990.06 = 451.48 : x
  2. Step 2: Convert to fraction form
    659.56/990.06 = 451.48/x
  3. Step 3: Cross multiply
    659.56x = 990.06 × 451.48
  4. Step 4: Simplify right side
    659.56x = 446,992.29
  5. Step 5: Solve for x
    x = 446,992.29/659.56
  6. Step 6: Final answer
    x = 677.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.