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Finding the Fourth Proportional to 1,449.18, 1,998.81 and 918.23

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Solution

The fourth proportional to 1,449.18, 1,998.81 and 918.23 is: 1,266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.18 : 1,998.81 = 918.23 : x
  2. Step 2: Convert to fraction form
    1,449.18/1,998.81 = 918.23/x
  3. Step 3: Cross multiply
    1,449.18x = 1,998.81 × 918.23
  4. Step 4: Simplify right side
    1,449.18x = 1,835,357.31
  5. Step 5: Solve for x
    x = 1,835,357.31/1,449.18
  6. Step 6: Final answer
    x = 1,266.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.