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Finding the Fourth Proportional to 736.24, 1,103.28 and 411.52

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Solution

The fourth proportional to 736.24, 1,103.28 and 411.52 is: 616.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.24 : 1,103.28 = 411.52 : x
  2. Step 2: Convert to fraction form
    736.24/1,103.28 = 411.52/x
  3. Step 3: Cross multiply
    736.24x = 1,103.28 × 411.52
  4. Step 4: Simplify right side
    736.24x = 454,021.79
  5. Step 5: Solve for x
    x = 454,021.79/736.24
  6. Step 6: Final answer
    x = 616.68

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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.