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Finding the Fourth Proportional to 677.54, 1,015.86 and 266.42

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Solution

The fourth proportional to 677.54, 1,015.86 and 266.42 is: 399.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.54 : 1,015.86 = 266.42 : x
  2. Step 2: Convert to fraction form
    677.54/1,015.86 = 266.42/x
  3. Step 3: Cross multiply
    677.54x = 1,015.86 × 266.42
  4. Step 4: Simplify right side
    677.54x = 270,645.42
  5. Step 5: Solve for x
    x = 270,645.42/677.54
  6. Step 6: Final answer
    x = 399.45

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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.