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Finding the Fourth Proportional to 677.91, 1,016.48 and 266.57

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Solution

The fourth proportional to 677.91, 1,016.48 and 266.57 is: 399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.91 : 1,016.48 = 266.57 : x
  2. Step 2: Convert to fraction form
    677.91/1,016.48 = 266.57/x
  3. Step 3: Cross multiply
    677.91x = 1,016.48 × 266.57
  4. Step 4: Simplify right side
    677.91x = 270,963.07
  5. Step 5: Solve for x
    x = 270,963.07/677.91
  6. Step 6: Final answer
    x = 399.70

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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.