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Finding the Fourth Proportional to 671.84, 1,007.82 and 261.08

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Solution

The fourth proportional to 671.84, 1,007.82 and 261.08 is: 391.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 1,007.82 = 261.08 : x
  2. Step 2: Convert to fraction form
    671.84/1,007.82 = 261.08/x
  3. Step 3: Cross multiply
    671.84x = 1,007.82 × 261.08
  4. Step 4: Simplify right side
    671.84x = 263,121.65
  5. Step 5: Solve for x
    x = 263,121.65/671.84
  6. Step 6: Final answer
    x = 391.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.