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Finding the Fourth Proportional to 1,215.02, 1,822.44 and 726.98

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Solution

The fourth proportional to 1,215.02, 1,822.44 and 726.98 is: 1,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.02 : 1,822.44 = 726.98 : x
  2. Step 2: Convert to fraction form
    1,215.02/1,822.44 = 726.98/x
  3. Step 3: Cross multiply
    1,215.02x = 1,822.44 × 726.98
  4. Step 4: Simplify right side
    1,215.02x = 1,324,877.43
  5. Step 5: Solve for x
    x = 1,324,877.43/1,215.02
  6. Step 6: Final answer
    x = 1,090.42

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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.