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Finding the Fourth Proportional to 699.49, 964.74 and 450.83

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Solution

The fourth proportional to 699.49, 964.74 and 450.83 is: 621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.49 : 964.74 = 450.83 : x
  2. Step 2: Convert to fraction form
    699.49/964.74 = 450.83/x
  3. Step 3: Cross multiply
    699.49x = 964.74 × 450.83
  4. Step 4: Simplify right side
    699.49x = 434,933.73
  5. Step 5: Solve for x
    x = 434,933.73/699.49
  6. Step 6: Final answer
    x = 621.79

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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.