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Finding the Fourth Proportional to 1,663.91, 2,494.93 and 552.73

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Solution

The fourth proportional to 1,663.91, 2,494.93 and 552.73 is: 828.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.91 : 2,494.93 = 552.73 : x
  2. Step 2: Convert to fraction form
    1,663.91/2,494.93 = 552.73/x
  3. Step 3: Cross multiply
    1,663.91x = 2,494.93 × 552.73
  4. Step 4: Simplify right side
    1,663.91x = 1,379,034.98
  5. Step 5: Solve for x
    x = 1,379,034.98/1,663.91
  6. Step 6: Final answer
    x = 828.79

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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.