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Finding the Fourth Proportional to 905.24, 1,249.29 and 532.33

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Solution

The fourth proportional to 905.24, 1,249.29 and 532.33 is: 734.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.24 : 1,249.29 = 532.33 : x
  2. Step 2: Convert to fraction form
    905.24/1,249.29 = 532.33/x
  3. Step 3: Cross multiply
    905.24x = 1,249.29 × 532.33
  4. Step 4: Simplify right side
    905.24x = 665,031.42
  5. Step 5: Solve for x
    x = 665,031.42/905.24
  6. Step 6: Final answer
    x = 734.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.