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Finding the Fourth Proportional to 748.88, 1,122.03 and 683.78

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Solution

The fourth proportional to 748.88, 1,122.03 and 683.78 is: 1,024.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.88 : 1,122.03 = 683.78 : x
  2. Step 2: Convert to fraction form
    748.88/1,122.03 = 683.78/x
  3. Step 3: Cross multiply
    748.88x = 1,122.03 × 683.78
  4. Step 4: Simplify right side
    748.88x = 767,216.06
  5. Step 5: Solve for x
    x = 767,216.06/748.88
  6. Step 6: Final answer
    x = 1,024.49

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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.