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Finding the Fourth Proportional to 581.18, 871.89 and 523.09

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Solution

The fourth proportional to 581.18, 871.89 and 523.09 is: 784.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.18 : 871.89 = 523.09 : x
  2. Step 2: Convert to fraction form
    581.18/871.89 = 523.09/x
  3. Step 3: Cross multiply
    581.18x = 871.89 × 523.09
  4. Step 4: Simplify right side
    581.18x = 456,078.25
  5. Step 5: Solve for x
    x = 456,078.25/581.18
  6. Step 6: Final answer
    x = 784.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.