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Finding the Fourth Proportional to 581.25, 871.77 and 547.41

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Solution

The fourth proportional to 581.25, 871.77 and 547.41 is: 821.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.25 : 871.77 = 547.41 : x
  2. Step 2: Convert to fraction form
    581.25/871.77 = 547.41/x
  3. Step 3: Cross multiply
    581.25x = 871.77 × 547.41
  4. Step 4: Simplify right side
    581.25x = 477,215.62
  5. Step 5: Solve for x
    x = 477,215.62/581.25
  6. Step 6: Final answer
    x = 821.02

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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.