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Finding the Fourth Proportional to 1,122.98, 1,549.89 and 936.18

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Solution

The fourth proportional to 1,122.98, 1,549.89 and 936.18 is: 1,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.98 : 1,549.89 = 936.18 : x
  2. Step 2: Convert to fraction form
    1,122.98/1,549.89 = 936.18/x
  3. Step 3: Cross multiply
    1,122.98x = 1,549.89 × 936.18
  4. Step 4: Simplify right side
    1,122.98x = 1,450,976.02
  5. Step 5: Solve for x
    x = 1,450,976.02/1,122.98
  6. Step 6: Final answer
    x = 1,292.08

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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.