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Finding the Fourth Proportional to 1,119.18, 1,678.92 and 388.82

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Solution

The fourth proportional to 1,119.18, 1,678.92 and 388.82 is: 583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.18 : 1,678.92 = 388.82 : x
  2. Step 2: Convert to fraction form
    1,119.18/1,678.92 = 388.82/x
  3. Step 3: Cross multiply
    1,119.18x = 1,678.92 × 388.82
  4. Step 4: Simplify right side
    1,119.18x = 652,789.28
  5. Step 5: Solve for x
    x = 652,789.28/1,119.18
  6. Step 6: Final answer
    x = 583.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.