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Finding the Fourth Proportional to 699.41, 964.93 and 450.87

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Solution

The fourth proportional to 699.41, 964.93 and 450.87 is: 622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.41 : 964.93 = 450.87 : x
  2. Step 2: Convert to fraction form
    699.41/964.93 = 450.87/x
  3. Step 3: Cross multiply
    699.41x = 964.93 × 450.87
  4. Step 4: Simplify right side
    699.41x = 435,057.99
  5. Step 5: Solve for x
    x = 435,057.99/699.41
  6. Step 6: Final answer
    x = 622.04

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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.