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Finding the Fourth Proportional to 697.92, 963.06 and 383.18

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Solution

The fourth proportional to 697.92, 963.06 and 383.18 is: 528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.92 : 963.06 = 383.18 : x
  2. Step 2: Convert to fraction form
    697.92/963.06 = 383.18/x
  3. Step 3: Cross multiply
    697.92x = 963.06 × 383.18
  4. Step 4: Simplify right side
    697.92x = 369,027.73
  5. Step 5: Solve for x
    x = 369,027.73/697.92
  6. Step 6: Final answer
    x = 528.76

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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.