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Finding the Fourth Proportional to 671.01, 1,006.71 and 397.23

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Solution

The fourth proportional to 671.01, 1,006.71 and 397.23 is: 595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.01 : 1,006.71 = 397.23 : x
  2. Step 2: Convert to fraction form
    671.01/1,006.71 = 397.23/x
  3. Step 3: Cross multiply
    671.01x = 1,006.71 × 397.23
  4. Step 4: Simplify right side
    671.01x = 399,895.41
  5. Step 5: Solve for x
    x = 399,895.41/671.01
  6. Step 6: Final answer
    x = 595.96

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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.