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Finding the Fourth Proportional to 683.12, 1,024.72 and 410.96

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Solution

The fourth proportional to 683.12, 1,024.72 and 410.96 is: 616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.12 : 1,024.72 = 410.96 : x
  2. Step 2: Convert to fraction form
    683.12/1,024.72 = 410.96/x
  3. Step 3: Cross multiply
    683.12x = 1,024.72 × 410.96
  4. Step 4: Simplify right side
    683.12x = 421,120.47
  5. Step 5: Solve for x
    x = 421,120.47/683.12
  6. Step 6: Final answer
    x = 616.46

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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.