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Finding the Fourth Proportional to 825.57, 1,238.58 and 734.90

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Solution

The fourth proportional to 825.57, 1,238.58 and 734.90 is: 1,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.57 : 1,238.58 = 734.90 : x
  2. Step 2: Convert to fraction form
    825.57/1,238.58 = 734.90/x
  3. Step 3: Cross multiply
    825.57x = 1,238.58 × 734.90
  4. Step 4: Simplify right side
    825.57x = 910,228.14
  5. Step 5: Solve for x
    x = 910,228.14/825.57
  6. Step 6: Final answer
    x = 1,102.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.