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Finding the Fourth Proportional to 780.71, 1,171.51 and 293.74

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Solution

The fourth proportional to 780.71, 1,171.51 and 293.74 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.71 : 1,171.51 = 293.74 : x
  2. Step 2: Convert to fraction form
    780.71/1,171.51 = 293.74/x
  3. Step 3: Cross multiply
    780.71x = 1,171.51 × 293.74
  4. Step 4: Simplify right side
    780.71x = 344,115.68
  5. Step 5: Solve for x
    x = 344,115.68/780.71
  6. Step 6: Final answer
    x = 440.78

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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.