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Finding the Fourth Proportional to 821.59, 1,133.48 and 541.96

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Solution

The fourth proportional to 821.59, 1,133.48 and 541.96 is: 747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.59 : 1,133.48 = 541.96 : x
  2. Step 2: Convert to fraction form
    821.59/1,133.48 = 541.96/x
  3. Step 3: Cross multiply
    821.59x = 1,133.48 × 541.96
  4. Step 4: Simplify right side
    821.59x = 614,292.44
  5. Step 5: Solve for x
    x = 614,292.44/821.59
  6. Step 6: Final answer
    x = 747.69

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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.