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Finding the Fourth Proportional to 821.53, 1,232.01 and 273.58

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Solution

The fourth proportional to 821.53, 1,232.01 and 273.58 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.53 : 1,232.01 = 273.58 : x
  2. Step 2: Convert to fraction form
    821.53/1,232.01 = 273.58/x
  3. Step 3: Cross multiply
    821.53x = 1,232.01 × 273.58
  4. Step 4: Simplify right side
    821.53x = 337,053.30
  5. Step 5: Solve for x
    x = 337,053.30/821.53
  6. Step 6: Final answer
    x = 410.28

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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.