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Finding the Fourth Proportional to 683.65, 1,024.86 and 250.71

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Solution

The fourth proportional to 683.65, 1,024.86 and 250.71 is: 375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.65 : 1,024.86 = 250.71 : x
  2. Step 2: Convert to fraction form
    683.65/1,024.86 = 250.71/x
  3. Step 3: Cross multiply
    683.65x = 1,024.86 × 250.71
  4. Step 4: Simplify right side
    683.65x = 256,937.53
  5. Step 5: Solve for x
    x = 256,937.53/683.65
  6. Step 6: Final answer
    x = 375.83

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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.