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Finding the Fourth Proportional to 1,418.44, 2,125.50 and 552.28

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Solution

The fourth proportional to 1,418.44, 2,125.50 and 552.28 is: 827.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.44 : 2,125.50 = 552.28 : x
  2. Step 2: Convert to fraction form
    1,418.44/2,125.50 = 552.28/x
  3. Step 3: Cross multiply
    1,418.44x = 2,125.50 × 552.28
  4. Step 4: Simplify right side
    1,418.44x = 1,173,871.14
  5. Step 5: Solve for x
    x = 1,173,871.14/1,418.44
  6. Step 6: Final answer
    x = 827.58

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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.