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Finding the Fourth Proportional to 701.46, 968.40 and 627.60

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Solution

The fourth proportional to 701.46, 968.40 and 627.60 is: 866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.46 : 968.40 = 627.60 : x
  2. Step 2: Convert to fraction form
    701.46/968.40 = 627.60/x
  3. Step 3: Cross multiply
    701.46x = 968.40 × 627.60
  4. Step 4: Simplify right side
    701.46x = 607,767.84
  5. Step 5: Solve for x
    x = 607,767.84/701.46
  6. Step 6: Final answer
    x = 866.43

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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.