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Finding the Fourth Proportional to 597.92, 824.19 and 547.70

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Solution

The fourth proportional to 597.92, 824.19 and 547.70 is: 754.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 824.19 = 547.70 : x
  2. Step 2: Convert to fraction form
    597.92/824.19 = 547.70/x
  3. Step 3: Cross multiply
    597.92x = 824.19 × 547.70
  4. Step 4: Simplify right side
    597.92x = 451,408.86
  5. Step 5: Solve for x
    x = 451,408.86/597.92
  6. Step 6: Final answer
    x = 754.97

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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.