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Finding the Fourth Proportional to 698.86, 964.66 and 502.94

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Solution

The fourth proportional to 698.86, 964.66 and 502.94 is: 694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.86 : 964.66 = 502.94 : x
  2. Step 2: Convert to fraction form
    698.86/964.66 = 502.94/x
  3. Step 3: Cross multiply
    698.86x = 964.66 × 502.94
  4. Step 4: Simplify right side
    698.86x = 485,167.25
  5. Step 5: Solve for x
    x = 485,167.25/698.86
  6. Step 6: Final answer
    x = 694.23

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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.