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Finding the Fourth Proportional to 3,202.25, 4,803.69 and 893.75

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Solution

The fourth proportional to 3,202.25, 4,803.69 and 893.75 is: 1,340.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.25 : 4,803.69 = 893.75 : x
  2. Step 2: Convert to fraction form
    3,202.25/4,803.69 = 893.75/x
  3. Step 3: Cross multiply
    3,202.25x = 4,803.69 × 893.75
  4. Step 4: Simplify right side
    3,202.25x = 4,293,297.94
  5. Step 5: Solve for x
    x = 4,293,297.94/3,202.25
  6. Step 6: Final answer
    x = 1,340.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.