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Finding the Fourth Proportional to 720.72, 993.94 and 499.56

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Solution

The fourth proportional to 720.72, 993.94 and 499.56 is: 688.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.72 : 993.94 = 499.56 : x
  2. Step 2: Convert to fraction form
    720.72/993.94 = 499.56/x
  3. Step 3: Cross multiply
    720.72x = 993.94 × 499.56
  4. Step 4: Simplify right side
    720.72x = 496,532.67
  5. Step 5: Solve for x
    x = 496,532.67/720.72
  6. Step 6: Final answer
    x = 688.94

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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.