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Finding the Fourth Proportional to 677.15, 1,016.02 and 266.59

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Solution

The fourth proportional to 677.15, 1,016.02 and 266.59 is: 399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.15 : 1,016.02 = 266.59 : x
  2. Step 2: Convert to fraction form
    677.15/1,016.02 = 266.59/x
  3. Step 3: Cross multiply
    677.15x = 1,016.02 × 266.59
  4. Step 4: Simplify right side
    677.15x = 270,855.69
  5. Step 5: Solve for x
    x = 270,855.69/677.15
  6. Step 6: Final answer
    x = 399.99

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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.