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Finding the Fourth Proportional to 1,329.77, 1,994.20 and 671.39

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Solution

The fourth proportional to 1,329.77, 1,994.20 and 671.39 is: 1,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.77 : 1,994.20 = 671.39 : x
  2. Step 2: Convert to fraction form
    1,329.77/1,994.20 = 671.39/x
  3. Step 3: Cross multiply
    1,329.77x = 1,994.20 × 671.39
  4. Step 4: Simplify right side
    1,329.77x = 1,338,885.94
  5. Step 5: Solve for x
    x = 1,338,885.94/1,329.77
  6. Step 6: Final answer
    x = 1,006.86

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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.