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Finding the Fourth Proportional to 1,144.22, 1,716.33 and 278.53

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Solution

The fourth proportional to 1,144.22, 1,716.33 and 278.53 is: 417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.22 : 1,716.33 = 278.53 : x
  2. Step 2: Convert to fraction form
    1,144.22/1,716.33 = 278.53/x
  3. Step 3: Cross multiply
    1,144.22x = 1,716.33 × 278.53
  4. Step 4: Simplify right side
    1,144.22x = 478,046.15
  5. Step 5: Solve for x
    x = 478,046.15/1,144.22
  6. Step 6: Final answer
    x = 417.79

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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.