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Finding the Fourth Proportional to 821.54, 1,133.39 and 541.91

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Solution

The fourth proportional to 821.54, 1,133.39 and 541.91 is: 747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.54 : 1,133.39 = 541.91 : x
  2. Step 2: Convert to fraction form
    821.54/1,133.39 = 541.91/x
  3. Step 3: Cross multiply
    821.54x = 1,133.39 × 541.91
  4. Step 4: Simplify right side
    821.54x = 614,199.56
  5. Step 5: Solve for x
    x = 614,199.56/821.54
  6. Step 6: Final answer
    x = 747.62

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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.