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Finding the Fourth Proportional to 663.26, 993.87 and 491.00

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Solution

The fourth proportional to 663.26, 993.87 and 491.00 is: 735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.26 : 993.87 = 491.00 : x
  2. Step 2: Convert to fraction form
    663.26/993.87 = 491.00/x
  3. Step 3: Cross multiply
    663.26x = 993.87 × 491.00
  4. Step 4: Simplify right side
    663.26x = 487,985.20
  5. Step 5: Solve for x
    x = 487,985.20/663.26
  6. Step 6: Final answer
    x = 735.74

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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.