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Finding the Fourth Proportional to 671.30, 1,006.33 and 465.96

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Solution

The fourth proportional to 671.30, 1,006.33 and 465.96 is: 698.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.30 : 1,006.33 = 465.96 : x
  2. Step 2: Convert to fraction form
    671.30/1,006.33 = 465.96/x
  3. Step 3: Cross multiply
    671.30x = 1,006.33 × 465.96
  4. Step 4: Simplify right side
    671.30x = 468,909.53
  5. Step 5: Solve for x
    x = 468,909.53/671.30
  6. Step 6: Final answer
    x = 698.51

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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.