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Finding the Fourth Proportional to 1,144.54, 1,716.45 and 596.43

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Solution

The fourth proportional to 1,144.54, 1,716.45 and 596.43 is: 894.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.54 : 1,716.45 = 596.43 : x
  2. Step 2: Convert to fraction form
    1,144.54/1,716.45 = 596.43/x
  3. Step 3: Cross multiply
    1,144.54x = 1,716.45 × 596.43
  4. Step 4: Simplify right side
    1,144.54x = 1,023,742.27
  5. Step 5: Solve for x
    x = 1,023,742.27/1,144.54
  6. Step 6: Final answer
    x = 894.46

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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.