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Finding the Fourth Proportional to 693.38, 957.54 and 593.22

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Solution

The fourth proportional to 693.38, 957.54 and 593.22 is: 819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.38 : 957.54 = 593.22 : x
  2. Step 2: Convert to fraction form
    693.38/957.54 = 593.22/x
  3. Step 3: Cross multiply
    693.38x = 957.54 × 593.22
  4. Step 4: Simplify right side
    693.38x = 568,031.88
  5. Step 5: Solve for x
    x = 568,031.88/693.38
  6. Step 6: Final answer
    x = 819.22

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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.