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Finding the Fourth Proportional to 683.98, 1,024.38 and 500.92

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Solution

The fourth proportional to 683.98, 1,024.38 and 500.92 is: 750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.98 : 1,024.38 = 500.92 : x
  2. Step 2: Convert to fraction form
    683.98/1,024.38 = 500.92/x
  3. Step 3: Cross multiply
    683.98x = 1,024.38 × 500.92
  4. Step 4: Simplify right side
    683.98x = 513,129.87
  5. Step 5: Solve for x
    x = 513,129.87/683.98
  6. Step 6: Final answer
    x = 750.21

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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.