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Finding the Fourth Proportional to 780.78, 1,171.22 and 260.76

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Solution

The fourth proportional to 780.78, 1,171.22 and 260.76 is: 391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.78 : 1,171.22 = 260.76 : x
  2. Step 2: Convert to fraction form
    780.78/1,171.22 = 260.76/x
  3. Step 3: Cross multiply
    780.78x = 1,171.22 × 260.76
  4. Step 4: Simplify right side
    780.78x = 305,407.33
  5. Step 5: Solve for x
    x = 305,407.33/780.78
  6. Step 6: Final answer
    x = 391.16

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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.