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Finding the Fourth Proportional to 596.87, 890.97 and 551.76

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Solution

The fourth proportional to 596.87, 890.97 and 551.76 is: 823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.87 : 890.97 = 551.76 : x
  2. Step 2: Convert to fraction form
    596.87/890.97 = 551.76/x
  3. Step 3: Cross multiply
    596.87x = 890.97 × 551.76
  4. Step 4: Simplify right side
    596.87x = 491,605.86
  5. Step 5: Solve for x
    x = 491,605.86/596.87
  6. Step 6: Final answer
    x = 823.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.