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Finding the Fourth Proportional to 697.38, 962.78 and 484.99

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Solution

The fourth proportional to 697.38, 962.78 and 484.99 is: 669.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.38 : 962.78 = 484.99 : x
  2. Step 2: Convert to fraction form
    697.38/962.78 = 484.99/x
  3. Step 3: Cross multiply
    697.38x = 962.78 × 484.99
  4. Step 4: Simplify right side
    697.38x = 466,938.67
  5. Step 5: Solve for x
    x = 466,938.67/697.38
  6. Step 6: Final answer
    x = 669.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.