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Finding the Fourth Proportional to 1,384.05, 2,076.14 and 644.36

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Solution

The fourth proportional to 1,384.05, 2,076.14 and 644.36 is: 966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.05 : 2,076.14 = 644.36 : x
  2. Step 2: Convert to fraction form
    1,384.05/2,076.14 = 644.36/x
  3. Step 3: Cross multiply
    1,384.05x = 2,076.14 × 644.36
  4. Step 4: Simplify right side
    1,384.05x = 1,337,767.97
  5. Step 5: Solve for x
    x = 1,337,767.97/1,384.05
  6. Step 6: Final answer
    x = 966.56

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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.