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Finding the Fourth Proportional to 713.39, 984.94 and 638.57

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Solution

The fourth proportional to 713.39, 984.94 and 638.57 is: 881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.39 : 984.94 = 638.57 : x
  2. Step 2: Convert to fraction form
    713.39/984.94 = 638.57/x
  3. Step 3: Cross multiply
    713.39x = 984.94 × 638.57
  4. Step 4: Simplify right side
    713.39x = 628,953.14
  5. Step 5: Solve for x
    x = 628,953.14/713.39
  6. Step 6: Final answer
    x = 881.64

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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.