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Finding the Fourth Proportional to 698.84, 963.90 and 477.44

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Solution

The fourth proportional to 698.84, 963.90 and 477.44 is: 658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.84 : 963.90 = 477.44 : x
  2. Step 2: Convert to fraction form
    698.84/963.90 = 477.44/x
  3. Step 3: Cross multiply
    698.84x = 963.90 × 477.44
  4. Step 4: Simplify right side
    698.84x = 460,204.42
  5. Step 5: Solve for x
    x = 460,204.42/698.84
  6. Step 6: Final answer
    x = 658.53

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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.