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Finding the Fourth Proportional to 677.47, 1,016.43 and 266.71

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Solution

The fourth proportional to 677.47, 1,016.43 and 266.71 is: 400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.47 : 1,016.43 = 266.71 : x
  2. Step 2: Convert to fraction form
    677.47/1,016.43 = 266.71/x
  3. Step 3: Cross multiply
    677.47x = 1,016.43 × 266.71
  4. Step 4: Simplify right side
    677.47x = 271,092.05
  5. Step 5: Solve for x
    x = 271,092.05/677.47
  6. Step 6: Final answer
    x = 400.15

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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.