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Finding the Fourth Proportional to 697.84, 963.61 and 499.29

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Solution

The fourth proportional to 697.84, 963.61 and 499.29 is: 689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.84 : 963.61 = 499.29 : x
  2. Step 2: Convert to fraction form
    697.84/963.61 = 499.29/x
  3. Step 3: Cross multiply
    697.84x = 963.61 × 499.29
  4. Step 4: Simplify right side
    697.84x = 481,113.52
  5. Step 5: Solve for x
    x = 481,113.52/697.84
  6. Step 6: Final answer
    x = 689.44

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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.