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Finding the Fourth Proportional to 1,292.36, 1,939.14 and 744.39

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Solution

The fourth proportional to 1,292.36, 1,939.14 and 744.39 is: 1,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.36 : 1,939.14 = 744.39 : x
  2. Step 2: Convert to fraction form
    1,292.36/1,939.14 = 744.39/x
  3. Step 3: Cross multiply
    1,292.36x = 1,939.14 × 744.39
  4. Step 4: Simplify right side
    1,292.36x = 1,443,476.42
  5. Step 5: Solve for x
    x = 1,443,476.42/1,292.36
  6. Step 6: Final answer
    x = 1,116.93

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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.