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Finding the Fourth Proportional to 780.26, 1,170.72 and 293.24

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Solution

The fourth proportional to 780.26, 1,170.72 and 293.24 is: 439.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,170.72 = 293.24 : x
  2. Step 2: Convert to fraction form
    780.26/1,170.72 = 293.24/x
  3. Step 3: Cross multiply
    780.26x = 1,170.72 × 293.24
  4. Step 4: Simplify right side
    780.26x = 343,301.93
  5. Step 5: Solve for x
    x = 343,301.93/780.26
  6. Step 6: Final answer
    x = 439.98

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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.