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Finding the Fourth Proportional to 677.69, 1,016.53 and 190.74

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Solution

The fourth proportional to 677.69, 1,016.53 and 190.74 is: 286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.69 : 1,016.53 = 190.74 : x
  2. Step 2: Convert to fraction form
    677.69/1,016.53 = 190.74/x
  3. Step 3: Cross multiply
    677.69x = 1,016.53 × 190.74
  4. Step 4: Simplify right side
    677.69x = 193,892.93
  5. Step 5: Solve for x
    x = 193,892.93/677.69
  6. Step 6: Final answer
    x = 286.11

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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.