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Finding the Fourth Proportional to 794.23, 1,191.60 and 246.46

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Solution

The fourth proportional to 794.23, 1,191.60 and 246.46 is: 369.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.23 : 1,191.60 = 246.46 : x
  2. Step 2: Convert to fraction form
    794.23/1,191.60 = 246.46/x
  3. Step 3: Cross multiply
    794.23x = 1,191.60 × 246.46
  4. Step 4: Simplify right side
    794.23x = 293,681.74
  5. Step 5: Solve for x
    x = 293,681.74/794.23
  6. Step 6: Final answer
    x = 369.77

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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.