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Finding the Fourth Proportional to 821.22, 1,232.07 and 273.45

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Solution

The fourth proportional to 821.22, 1,232.07 and 273.45 is: 410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.22 : 1,232.07 = 273.45 : x
  2. Step 2: Convert to fraction form
    821.22/1,232.07 = 273.45/x
  3. Step 3: Cross multiply
    821.22x = 1,232.07 × 273.45
  4. Step 4: Simplify right side
    821.22x = 336,909.54
  5. Step 5: Solve for x
    x = 336,909.54/821.22
  6. Step 6: Final answer
    x = 410.25

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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.