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Finding the Fourth Proportional to 683.12, 1,024.92 and 581.18

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Solution

The fourth proportional to 683.12, 1,024.92 and 581.18 is: 871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.12 : 1,024.92 = 581.18 : x
  2. Step 2: Convert to fraction form
    683.12/1,024.92 = 581.18/x
  3. Step 3: Cross multiply
    683.12x = 1,024.92 × 581.18
  4. Step 4: Simplify right side
    683.12x = 595,663.01
  5. Step 5: Solve for x
    x = 595,663.01/683.12
  6. Step 6: Final answer
    x = 871.97

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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.