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Finding the Fourth Proportional to 693.69, 955.98 and 496.86

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Solution

The fourth proportional to 693.69, 955.98 and 496.86 is: 684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.69 : 955.98 = 496.86 : x
  2. Step 2: Convert to fraction form
    693.69/955.98 = 496.86/x
  3. Step 3: Cross multiply
    693.69x = 955.98 × 496.86
  4. Step 4: Simplify right side
    693.69x = 474,988.22
  5. Step 5: Solve for x
    x = 474,988.22/693.69
  6. Step 6: Final answer
    x = 684.73

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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.