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Finding the Fourth Proportional to 663.46, 993.97 and 590.56

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Solution

The fourth proportional to 663.46, 993.97 and 590.56 is: 884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.46 : 993.97 = 590.56 : x
  2. Step 2: Convert to fraction form
    663.46/993.97 = 590.56/x
  3. Step 3: Cross multiply
    663.46x = 993.97 × 590.56
  4. Step 4: Simplify right side
    663.46x = 586,998.92
  5. Step 5: Solve for x
    x = 586,998.92/663.46
  6. Step 6: Final answer
    x = 884.75

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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.