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Finding the Fourth Proportional to 1,274.41, 1,758.26 and 743.17

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Solution

The fourth proportional to 1,274.41, 1,758.26 and 743.17 is: 1,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.41 : 1,758.26 = 743.17 : x
  2. Step 2: Convert to fraction form
    1,274.41/1,758.26 = 743.17/x
  3. Step 3: Cross multiply
    1,274.41x = 1,758.26 × 743.17
  4. Step 4: Simplify right side
    1,274.41x = 1,306,683.55
  5. Step 5: Solve for x
    x = 1,306,683.55/1,274.41
  6. Step 6: Final answer
    x = 1,025.33

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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.