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Finding the Fourth Proportional to 780.97, 1,171.24 and 260.98

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Solution

The fourth proportional to 780.97, 1,171.24 and 260.98 is: 391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.97 : 1,171.24 = 260.98 : x
  2. Step 2: Convert to fraction form
    780.97/1,171.24 = 260.98/x
  3. Step 3: Cross multiply
    780.97x = 1,171.24 × 260.98
  4. Step 4: Simplify right side
    780.97x = 305,670.22
  5. Step 5: Solve for x
    x = 305,670.22/780.97
  6. Step 6: Final answer
    x = 391.40

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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.