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Finding the Fourth Proportional to 683.54, 1,022.86 and 637.78

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Solution

The fourth proportional to 683.54, 1,022.86 and 637.78 is: 954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.54 : 1,022.86 = 637.78 : x
  2. Step 2: Convert to fraction form
    683.54/1,022.86 = 637.78/x
  3. Step 3: Cross multiply
    683.54x = 1,022.86 × 637.78
  4. Step 4: Simplify right side
    683.54x = 652,359.65
  5. Step 5: Solve for x
    x = 652,359.65/683.54
  6. Step 6: Final answer
    x = 954.38

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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.