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Finding the Fourth Proportional to 701.50, 969.66 and 639.12

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Solution

The fourth proportional to 701.50, 969.66 and 639.12 is: 883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.50 : 969.66 = 639.12 : x
  2. Step 2: Convert to fraction form
    701.50/969.66 = 639.12/x
  3. Step 3: Cross multiply
    701.50x = 969.66 × 639.12
  4. Step 4: Simplify right side
    701.50x = 619,729.10
  5. Step 5: Solve for x
    x = 619,729.10/701.50
  6. Step 6: Final answer
    x = 883.43

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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.