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Finding the Fourth Proportional to 1,119.78, 1,677.81 and 388.96

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Solution

The fourth proportional to 1,119.78, 1,677.81 and 388.96 is: 582.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.78 : 1,677.81 = 388.96 : x
  2. Step 2: Convert to fraction form
    1,119.78/1,677.81 = 388.96/x
  3. Step 3: Cross multiply
    1,119.78x = 1,677.81 × 388.96
  4. Step 4: Simplify right side
    1,119.78x = 652,600.98
  5. Step 5: Solve for x
    x = 652,600.98/1,119.78
  6. Step 6: Final answer
    x = 582.79

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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.