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Finding the Fourth Proportional to 794.24, 1,191.14 and 307.18

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Solution

The fourth proportional to 794.24, 1,191.14 and 307.18 is: 460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.24 : 1,191.14 = 307.18 : x
  2. Step 2: Convert to fraction form
    794.24/1,191.14 = 307.18/x
  3. Step 3: Cross multiply
    794.24x = 1,191.14 × 307.18
  4. Step 4: Simplify right side
    794.24x = 365,894.39
  5. Step 5: Solve for x
    x = 365,894.39/794.24
  6. Step 6: Final answer
    x = 460.68

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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.