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Finding the Fourth Proportional to 677.05, 1,014.89 and 266.03

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Solution

The fourth proportional to 677.05, 1,014.89 and 266.03 is: 398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.05 : 1,014.89 = 266.03 : x
  2. Step 2: Convert to fraction form
    677.05/1,014.89 = 266.03/x
  3. Step 3: Cross multiply
    677.05x = 1,014.89 × 266.03
  4. Step 4: Simplify right side
    677.05x = 269,986.78
  5. Step 5: Solve for x
    x = 269,986.78/677.05
  6. Step 6: Final answer
    x = 398.77

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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.