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Finding the Fourth Proportional to 1,274.36, 1,758.87 and 743.31

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Solution

The fourth proportional to 1,274.36, 1,758.87 and 743.31 is: 1,025.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.36 : 1,758.87 = 743.31 : x
  2. Step 2: Convert to fraction form
    1,274.36/1,758.87 = 743.31/x
  3. Step 3: Cross multiply
    1,274.36x = 1,758.87 × 743.31
  4. Step 4: Simplify right side
    1,274.36x = 1,307,373.15
  5. Step 5: Solve for x
    x = 1,307,373.15/1,274.36
  6. Step 6: Final answer
    x = 1,025.91

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