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Finding the Fourth Proportional to 671.31, 1,006.61 and 260.15

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Solution

The fourth proportional to 671.31, 1,006.61 and 260.15 is: 390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.31 : 1,006.61 = 260.15 : x
  2. Step 2: Convert to fraction form
    671.31/1,006.61 = 260.15/x
  3. Step 3: Cross multiply
    671.31x = 1,006.61 × 260.15
  4. Step 4: Simplify right side
    671.31x = 261,863.26
  5. Step 5: Solve for x
    x = 261,863.26/671.31
  6. Step 6: Final answer
    x = 390.08

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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.