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Finding the Fourth Proportional to 720.92, 993.87 and 499.49

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Solution

The fourth proportional to 720.92, 993.87 and 499.49 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.92 : 993.87 = 499.49 : x
  2. Step 2: Convert to fraction form
    720.92/993.87 = 499.49/x
  3. Step 3: Cross multiply
    720.92x = 993.87 × 499.49
  4. Step 4: Simplify right side
    720.92x = 496,425.63
  5. Step 5: Solve for x
    x = 496,425.63/720.92
  6. Step 6: Final answer
    x = 688.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.