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Finding the Fourth Proportional to 722.75, 996.77 and 460.85

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Solution

The fourth proportional to 722.75, 996.77 and 460.85 is: 635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.75 : 996.77 = 460.85 : x
  2. Step 2: Convert to fraction form
    722.75/996.77 = 460.85/x
  3. Step 3: Cross multiply
    722.75x = 996.77 × 460.85
  4. Step 4: Simplify right side
    722.75x = 459,357.62
  5. Step 5: Solve for x
    x = 459,357.62/722.75
  6. Step 6: Final answer
    x = 635.57

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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.