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Finding the Fourth Proportional to 780.54, 1,170.97 and 415.23

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Solution

The fourth proportional to 780.54, 1,170.97 and 415.23 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.54 : 1,170.97 = 415.23 : x
  2. Step 2: Convert to fraction form
    780.54/1,170.97 = 415.23/x
  3. Step 3: Cross multiply
    780.54x = 1,170.97 × 415.23
  4. Step 4: Simplify right side
    780.54x = 486,221.87
  5. Step 5: Solve for x
    x = 486,221.87/780.54
  6. Step 6: Final answer
    x = 622.93

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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.