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Finding the Fourth Proportional to 832.96, 1,149.76 and 522.56

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Solution

The fourth proportional to 832.96, 1,149.76 and 522.56 is: 721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.96 : 1,149.76 = 522.56 : x
  2. Step 2: Convert to fraction form
    832.96/1,149.76 = 522.56/x
  3. Step 3: Cross multiply
    832.96x = 1,149.76 × 522.56
  4. Step 4: Simplify right side
    832.96x = 600,818.59
  5. Step 5: Solve for x
    x = 600,818.59/832.96
  6. Step 6: Final answer
    x = 721.31

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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.