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Finding the Fourth Proportional to 713.98, 984.83 and 462.23

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Solution

The fourth proportional to 713.98, 984.83 and 462.23 is: 637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.98 : 984.83 = 462.23 : x
  2. Step 2: Convert to fraction form
    713.98/984.83 = 462.23/x
  3. Step 3: Cross multiply
    713.98x = 984.83 × 462.23
  4. Step 4: Simplify right side
    713.98x = 455,217.97
  5. Step 5: Solve for x
    x = 455,217.97/713.98
  6. Step 6: Final answer
    x = 637.58

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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.