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Finding the Fourth Proportional to 713.70, 984.56 and 465.09

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Solution

The fourth proportional to 713.70, 984.56 and 465.09 is: 641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.70 : 984.56 = 465.09 : x
  2. Step 2: Convert to fraction form
    713.70/984.56 = 465.09/x
  3. Step 3: Cross multiply
    713.70x = 984.56 × 465.09
  4. Step 4: Simplify right side
    713.70x = 457,906.68
  5. Step 5: Solve for x
    x = 457,906.68/713.70
  6. Step 6: Final answer
    x = 641.60

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1.5x scale

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.