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Finding the Fourth Proportional to 572.70, 793.96 and 543.06

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Solution

The fourth proportional to 572.70, 793.96 and 543.06 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.70 : 793.96 = 543.06 : x
  2. Step 2: Convert to fraction form
    572.70/793.96 = 543.06/x
  3. Step 3: Cross multiply
    572.70x = 793.96 × 543.06
  4. Step 4: Simplify right side
    572.70x = 431,167.92
  5. Step 5: Solve for x
    x = 431,167.92/572.70
  6. Step 6: Final answer
    x = 752.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.