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Finding the Fourth Proportional to 596.43, 894.81 and 522.62

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Solution

The fourth proportional to 596.43, 894.81 and 522.62 is: 784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.43 : 894.81 = 522.62 : x
  2. Step 2: Convert to fraction form
    596.43/894.81 = 522.62/x
  3. Step 3: Cross multiply
    596.43x = 894.81 × 522.62
  4. Step 4: Simplify right side
    596.43x = 467,645.60
  5. Step 5: Solve for x
    x = 467,645.60/596.43
  6. Step 6: Final answer
    x = 784.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.