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Finding the Fourth Proportional to 763.29, 1,052.19 and 596.97

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Solution

The fourth proportional to 763.29, 1,052.19 and 596.97 is: 822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.29 : 1,052.19 = 596.97 : x
  2. Step 2: Convert to fraction form
    763.29/1,052.19 = 596.97/x
  3. Step 3: Cross multiply
    763.29x = 1,052.19 × 596.97
  4. Step 4: Simplify right side
    763.29x = 628,125.86
  5. Step 5: Solve for x
    x = 628,125.86/763.29
  6. Step 6: Final answer
    x = 822.92

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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.