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Finding the Fourth Proportional to 908.94, 1,255.28 and 743.70

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Solution

The fourth proportional to 908.94, 1,255.28 and 743.70 is: 1,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.94 : 1,255.28 = 743.70 : x
  2. Step 2: Convert to fraction form
    908.94/1,255.28 = 743.70/x
  3. Step 3: Cross multiply
    908.94x = 1,255.28 × 743.70
  4. Step 4: Simplify right side
    908.94x = 933,551.74
  5. Step 5: Solve for x
    x = 933,551.74/908.94
  6. Step 6: Final answer
    x = 1,027.08

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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.