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Finding the Fourth Proportional to 677.51, 1,016.20 and 266.84

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Solution

The fourth proportional to 677.51, 1,016.20 and 266.84 is: 400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.51 : 1,016.20 = 266.84 : x
  2. Step 2: Convert to fraction form
    677.51/1,016.20 = 266.84/x
  3. Step 3: Cross multiply
    677.51x = 1,016.20 × 266.84
  4. Step 4: Simplify right side
    677.51x = 271,166.09
  5. Step 5: Solve for x
    x = 271,166.09/677.51
  6. Step 6: Final answer
    x = 400.24

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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.