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Finding the Fourth Proportional to 711.92, 982.25 and 459.74

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Solution

The fourth proportional to 711.92, 982.25 and 459.74 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 982.25 = 459.74 : x
  2. Step 2: Convert to fraction form
    711.92/982.25 = 459.74/x
  3. Step 3: Cross multiply
    711.92x = 982.25 × 459.74
  4. Step 4: Simplify right side
    711.92x = 451,579.62
  5. Step 5: Solve for x
    x = 451,579.62/711.92
  6. Step 6: Final answer
    x = 634.31

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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.