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Finding the Fourth Proportional to 683.91, 1,025.42 and 561.87

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Solution

The fourth proportional to 683.91, 1,025.42 and 561.87 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.91 : 1,025.42 = 561.87 : x
  2. Step 2: Convert to fraction form
    683.91/1,025.42 = 561.87/x
  3. Step 3: Cross multiply
    683.91x = 1,025.42 × 561.87
  4. Step 4: Simplify right side
    683.91x = 576,149.93
  5. Step 5: Solve for x
    x = 576,149.93/683.91
  6. Step 6: Final answer
    x = 842.44

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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.