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Finding the Fourth Proportional to 780.75, 1,171.14 and 294.03

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Solution

The fourth proportional to 780.75, 1,171.14 and 294.03 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.75 : 1,171.14 = 294.03 : x
  2. Step 2: Convert to fraction form
    780.75/1,171.14 = 294.03/x
  3. Step 3: Cross multiply
    780.75x = 1,171.14 × 294.03
  4. Step 4: Simplify right side
    780.75x = 344,350.29
  5. Step 5: Solve for x
    x = 344,350.29/780.75
  6. Step 6: Final answer
    x = 441.05

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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.