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Finding the Fourth Proportional to 1,245.45, 1,869.83 and 998.79

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Solution

The fourth proportional to 1,245.45, 1,869.83 and 998.79 is: 1,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.45 : 1,869.83 = 998.79 : x
  2. Step 2: Convert to fraction form
    1,245.45/1,869.83 = 998.79/x
  3. Step 3: Cross multiply
    1,245.45x = 1,869.83 × 998.79
  4. Step 4: Simplify right side
    1,245.45x = 1,867,562.51
  5. Step 5: Solve for x
    x = 1,867,562.51/1,245.45
  6. Step 6: Final answer
    x = 1,499.51

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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.