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Finding the Fourth Proportional to 671.68, 1,007.91 and 260.79

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Solution

The fourth proportional to 671.68, 1,007.91 and 260.79 is: 391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.68 : 1,007.91 = 260.79 : x
  2. Step 2: Convert to fraction form
    671.68/1,007.91 = 260.79/x
  3. Step 3: Cross multiply
    671.68x = 1,007.91 × 260.79
  4. Step 4: Simplify right side
    671.68x = 262,851.54
  5. Step 5: Solve for x
    x = 262,851.54/671.68
  6. Step 6: Final answer
    x = 391.34

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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.