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Finding the Fourth Proportional to 1,362.51, 2,044.79 and 998.23

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Solution

The fourth proportional to 1,362.51, 2,044.79 and 998.23 is: 1,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.51 : 2,044.79 = 998.23 : x
  2. Step 2: Convert to fraction form
    1,362.51/2,044.79 = 998.23/x
  3. Step 3: Cross multiply
    1,362.51x = 2,044.79 × 998.23
  4. Step 4: Simplify right side
    1,362.51x = 2,041,170.72
  5. Step 5: Solve for x
    x = 2,041,170.72/1,362.51
  6. Step 6: Final answer
    x = 1,498.10

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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.