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Finding the Fourth Proportional to 677.24, 1,016.06 and 266.57

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Solution

The fourth proportional to 677.24, 1,016.06 and 266.57 is: 399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.24 : 1,016.06 = 266.57 : x
  2. Step 2: Convert to fraction form
    677.24/1,016.06 = 266.57/x
  3. Step 3: Cross multiply
    677.24x = 1,016.06 × 266.57
  4. Step 4: Simplify right side
    677.24x = 270,851.11
  5. Step 5: Solve for x
    x = 270,851.11/677.24
  6. Step 6: Final answer
    x = 399.93

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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.