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Finding the Fourth Proportional to 671.32, 1,007.34 and 260.74

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Solution

The fourth proportional to 671.32, 1,007.34 and 260.74 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.32 : 1,007.34 = 260.74 : x
  2. Step 2: Convert to fraction form
    671.32/1,007.34 = 260.74/x
  3. Step 3: Cross multiply
    671.32x = 1,007.34 × 260.74
  4. Step 4: Simplify right side
    671.32x = 262,653.83
  5. Step 5: Solve for x
    x = 262,653.83/671.32
  6. Step 6: Final answer
    x = 391.25

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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.