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Finding the Fourth Proportional to 532.82, 793.76 and 513.23

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Solution

The fourth proportional to 532.82, 793.76 and 513.23 is: 764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.82 : 793.76 = 513.23 : x
  2. Step 2: Convert to fraction form
    532.82/793.76 = 513.23/x
  3. Step 3: Cross multiply
    532.82x = 793.76 × 513.23
  4. Step 4: Simplify right side
    532.82x = 407,374.91
  5. Step 5: Solve for x
    x = 407,374.91/532.82
  6. Step 6: Final answer
    x = 764.57

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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.