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Finding the Fourth Proportional to 734.98, 1,102.58 and 248.17

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Solution

The fourth proportional to 734.98, 1,102.58 and 248.17 is: 372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.98 : 1,102.58 = 248.17 : x
  2. Step 2: Convert to fraction form
    734.98/1,102.58 = 248.17/x
  3. Step 3: Cross multiply
    734.98x = 1,102.58 × 248.17
  4. Step 4: Simplify right side
    734.98x = 273,627.28
  5. Step 5: Solve for x
    x = 273,627.28/734.98
  6. Step 6: Final answer
    x = 372.29

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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.