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Finding the Fourth Proportional to 683.04, 1,023.12 and 567.21

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Solution

The fourth proportional to 683.04, 1,023.12 and 567.21 is: 849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.04 : 1,023.12 = 567.21 : x
  2. Step 2: Convert to fraction form
    683.04/1,023.12 = 567.21/x
  3. Step 3: Cross multiply
    683.04x = 1,023.12 × 567.21
  4. Step 4: Simplify right side
    683.04x = 580,323.90
  5. Step 5: Solve for x
    x = 580,323.90/683.04
  6. Step 6: Final answer
    x = 849.62

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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.