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Finding the Fourth Proportional to 677.51, 1,016.14 and 190.55

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Solution

The fourth proportional to 677.51, 1,016.14 and 190.55 is: 285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.51 : 1,016.14 = 190.55 : x
  2. Step 2: Convert to fraction form
    677.51/1,016.14 = 190.55/x
  3. Step 3: Cross multiply
    677.51x = 1,016.14 × 190.55
  4. Step 4: Simplify right side
    677.51x = 193,627.54
  5. Step 5: Solve for x
    x = 193,627.54/677.51
  6. Step 6: Final answer
    x = 285.79

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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.