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Finding the Fourth Proportional to 1,119.52, 1,677.94 and 388.69

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Solution

The fourth proportional to 1,119.52, 1,677.94 and 388.69 is: 582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.52 : 1,677.94 = 388.69 : x
  2. Step 2: Convert to fraction form
    1,119.52/1,677.94 = 388.69/x
  3. Step 3: Cross multiply
    1,119.52x = 1,677.94 × 388.69
  4. Step 4: Simplify right side
    1,119.52x = 652,198.50
  5. Step 5: Solve for x
    x = 652,198.50/1,119.52
  6. Step 6: Final answer
    x = 582.57

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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.