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Finding the Fourth Proportional to 1,274.52, 1,758.72 and 743.52

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Solution

The fourth proportional to 1,274.52, 1,758.72 and 743.52 is: 1,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.52 : 1,758.72 = 743.52 : x
  2. Step 2: Convert to fraction form
    1,274.52/1,758.72 = 743.52/x
  3. Step 3: Cross multiply
    1,274.52x = 1,758.72 × 743.52
  4. Step 4: Simplify right side
    1,274.52x = 1,307,643.49
  5. Step 5: Solve for x
    x = 1,307,643.49/1,274.52
  6. Step 6: Final answer
    x = 1,025.99

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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.