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Finding the Fourth Proportional to 1,302.78, 1,797.42 and 743.22

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Solution

The fourth proportional to 1,302.78, 1,797.42 and 743.22 is: 1,025.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.78 : 1,797.42 = 743.22 : x
  2. Step 2: Convert to fraction form
    1,302.78/1,797.42 = 743.22/x
  3. Step 3: Cross multiply
    1,302.78x = 1,797.42 × 743.22
  4. Step 4: Simplify right side
    1,302.78x = 1,335,878.49
  5. Step 5: Solve for x
    x = 1,335,878.49/1,302.78
  6. Step 6: Final answer
    x = 1,025.41

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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.