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Finding the Fourth Proportional to 780.27, 1,170.89 and 293.37

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Solution

The fourth proportional to 780.27, 1,170.89 and 293.37 is: 440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.27 : 1,170.89 = 293.37 : x
  2. Step 2: Convert to fraction form
    780.27/1,170.89 = 293.37/x
  3. Step 3: Cross multiply
    780.27x = 1,170.89 × 293.37
  4. Step 4: Simplify right side
    780.27x = 343,504.00
  5. Step 5: Solve for x
    x = 343,504.00/780.27
  6. Step 6: Final answer
    x = 440.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.