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Finding the Fourth Proportional to 1,221.81, 1,832.72 and 811.75

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Solution

The fourth proportional to 1,221.81, 1,832.72 and 811.75 is: 1,217.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.81 : 1,832.72 = 811.75 : x
  2. Step 2: Convert to fraction form
    1,221.81/1,832.72 = 811.75/x
  3. Step 3: Cross multiply
    1,221.81x = 1,832.72 × 811.75
  4. Step 4: Simplify right side
    1,221.81x = 1,487,706.40
  5. Step 5: Solve for x
    x = 1,487,706.40/1,221.81
  6. Step 6: Final answer
    x = 1,217.63

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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.