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Finding the Fourth Proportional to 1,377.22, 1,901.64 and 905.44

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Solution

The fourth proportional to 1,377.22, 1,901.64 and 905.44 is: 1,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.22 : 1,901.64 = 905.44 : x
  2. Step 2: Convert to fraction form
    1,377.22/1,901.64 = 905.44/x
  3. Step 3: Cross multiply
    1,377.22x = 1,901.64 × 905.44
  4. Step 4: Simplify right side
    1,377.22x = 1,721,820.92
  5. Step 5: Solve for x
    x = 1,721,820.92/1,377.22
  6. Step 6: Final answer
    x = 1,250.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.