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Finding the Fourth Proportional to 794.98, 1,191.30 and 362.44

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Solution

The fourth proportional to 794.98, 1,191.30 and 362.44 is: 543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.98 : 1,191.30 = 362.44 : x
  2. Step 2: Convert to fraction form
    794.98/1,191.30 = 362.44/x
  3. Step 3: Cross multiply
    794.98x = 1,191.30 × 362.44
  4. Step 4: Simplify right side
    794.98x = 431,774.77
  5. Step 5: Solve for x
    x = 431,774.77/794.98
  6. Step 6: Final answer
    x = 543.13

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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.