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Finding the Fourth Proportional to 794.24, 1,191.36 and 452.48

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Solution

The fourth proportional to 794.24, 1,191.36 and 452.48 is: 678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.24 : 1,191.36 = 452.48 : x
  2. Step 2: Convert to fraction form
    794.24/1,191.36 = 452.48/x
  3. Step 3: Cross multiply
    794.24x = 1,191.36 × 452.48
  4. Step 4: Simplify right side
    794.24x = 539,066.57
  5. Step 5: Solve for x
    x = 539,066.57/794.24
  6. Step 6: Final answer
    x = 678.72

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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.