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Finding the Fourth Proportional to 734.52, 1,096.26 and 635.25

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Solution

The fourth proportional to 734.52, 1,096.26 and 635.25 is: 948.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.52 : 1,096.26 = 635.25 : x
  2. Step 2: Convert to fraction form
    734.52/1,096.26 = 635.25/x
  3. Step 3: Cross multiply
    734.52x = 1,096.26 × 635.25
  4. Step 4: Simplify right side
    734.52x = 696,399.17
  5. Step 5: Solve for x
    x = 696,399.17/734.52
  6. Step 6: Final answer
    x = 948.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.