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Finding the Fourth Proportional to 677.24, 1,015.76 and 190.33

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Solution

The fourth proportional to 677.24, 1,015.76 and 190.33 is: 285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.24 : 1,015.76 = 190.33 : x
  2. Step 2: Convert to fraction form
    677.24/1,015.76 = 190.33/x
  3. Step 3: Cross multiply
    677.24x = 1,015.76 × 190.33
  4. Step 4: Simplify right side
    677.24x = 193,327.54
  5. Step 5: Solve for x
    x = 193,327.54/677.24
  6. Step 6: Final answer
    x = 285.47

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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.