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Finding the Fourth Proportional to 734.38, 1,102.29 and 457.36

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Solution

The fourth proportional to 734.38, 1,102.29 and 457.36 is: 686.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.38 : 1,102.29 = 457.36 : x
  2. Step 2: Convert to fraction form
    734.38/1,102.29 = 457.36/x
  3. Step 3: Cross multiply
    734.38x = 1,102.29 × 457.36
  4. Step 4: Simplify right side
    734.38x = 504,143.35
  5. Step 5: Solve for x
    x = 504,143.35/734.38
  6. Step 6: Final answer
    x = 686.49

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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.