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Finding the Fourth Proportional to 821.07, 1,133.24 and 540.81

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Solution

The fourth proportional to 821.07, 1,133.24 and 540.81 is: 746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.07 : 1,133.24 = 540.81 : x
  2. Step 2: Convert to fraction form
    821.07/1,133.24 = 540.81/x
  3. Step 3: Cross multiply
    821.07x = 1,133.24 × 540.81
  4. Step 4: Simplify right side
    821.07x = 612,867.52
  5. Step 5: Solve for x
    x = 612,867.52/821.07
  6. Step 6: Final answer
    x = 746.43

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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.