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Finding the Fourth Proportional to 1,424.70, 2,137.14 and 644.58

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Solution

The fourth proportional to 1,424.70, 2,137.14 and 644.58 is: 966.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.70 : 2,137.14 = 644.58 : x
  2. Step 2: Convert to fraction form
    1,424.70/2,137.14 = 644.58/x
  3. Step 3: Cross multiply
    1,424.70x = 2,137.14 × 644.58
  4. Step 4: Simplify right side
    1,424.70x = 1,377,557.70
  5. Step 5: Solve for x
    x = 1,377,557.70/1,424.70
  6. Step 6: Final answer
    x = 966.91

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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.