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Finding the Fourth Proportional to 693.82, 956.15 and 496.99

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Solution

The fourth proportional to 693.82, 956.15 and 496.99 is: 684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.82 : 956.15 = 496.99 : x
  2. Step 2: Convert to fraction form
    693.82/956.15 = 496.99/x
  3. Step 3: Cross multiply
    693.82x = 956.15 × 496.99
  4. Step 4: Simplify right side
    693.82x = 475,196.99
  5. Step 5: Solve for x
    x = 475,196.99/693.82
  6. Step 6: Final answer
    x = 684.90

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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.