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Finding the Fourth Proportional to 663.38, 993.95 and 566.74

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Solution

The fourth proportional to 663.38, 993.95 and 566.74 is: 849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.38 : 993.95 = 566.74 : x
  2. Step 2: Convert to fraction form
    663.38/993.95 = 566.74/x
  3. Step 3: Cross multiply
    663.38x = 993.95 × 566.74
  4. Step 4: Simplify right side
    663.38x = 563,311.22
  5. Step 5: Solve for x
    x = 563,311.22/663.38
  6. Step 6: Final answer
    x = 849.15

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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.