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Finding the Fourth Proportional to 698.29, 963.35 and 520.94

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Solution

The fourth proportional to 698.29, 963.35 and 520.94 is: 718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.29 : 963.35 = 520.94 : x
  2. Step 2: Convert to fraction form
    698.29/963.35 = 520.94/x
  3. Step 3: Cross multiply
    698.29x = 963.35 × 520.94
  4. Step 4: Simplify right side
    698.29x = 501,847.55
  5. Step 5: Solve for x
    x = 501,847.55/698.29
  6. Step 6: Final answer
    x = 718.68

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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.