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Finding the Fourth Proportional to 749.54, 1,122.76 and 440.46

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Solution

The fourth proportional to 749.54, 1,122.76 and 440.46 is: 659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.54 : 1,122.76 = 440.46 : x
  2. Step 2: Convert to fraction form
    749.54/1,122.76 = 440.46/x
  3. Step 3: Cross multiply
    749.54x = 1,122.76 × 440.46
  4. Step 4: Simplify right side
    749.54x = 494,530.87
  5. Step 5: Solve for x
    x = 494,530.87/749.54
  6. Step 6: Final answer
    x = 659.78

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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.