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Finding the Fourth Proportional to 1,384.22, 2,076.33 and 604.06

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Solution

The fourth proportional to 1,384.22, 2,076.33 and 604.06 is: 906.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.22 : 2,076.33 = 604.06 : x
  2. Step 2: Convert to fraction form
    1,384.22/2,076.33 = 604.06/x
  3. Step 3: Cross multiply
    1,384.22x = 2,076.33 × 604.06
  4. Step 4: Simplify right side
    1,384.22x = 1,254,224.97
  5. Step 5: Solve for x
    x = 1,254,224.97/1,384.22
  6. Step 6: Final answer
    x = 906.09

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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.