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Finding the Fourth Proportional to 677.52, 1,016.10 and 190.46

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Solution

The fourth proportional to 677.52, 1,016.10 and 190.46 is: 285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.52 : 1,016.10 = 190.46 : x
  2. Step 2: Convert to fraction form
    677.52/1,016.10 = 190.46/x
  3. Step 3: Cross multiply
    677.52x = 1,016.10 × 190.46
  4. Step 4: Simplify right side
    677.52x = 193,521.33
  5. Step 5: Solve for x
    x = 193,521.33/677.52
  6. Step 6: Final answer
    x = 285.63

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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.