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Finding the Fourth Proportional to 794.79, 1,192.31 and 307.71

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Solution

The fourth proportional to 794.79, 1,192.31 and 307.71 is: 461.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.79 : 1,192.31 = 307.71 : x
  2. Step 2: Convert to fraction form
    794.79/1,192.31 = 307.71/x
  3. Step 3: Cross multiply
    794.79x = 1,192.31 × 307.71
  4. Step 4: Simplify right side
    794.79x = 366,885.71
  5. Step 5: Solve for x
    x = 366,885.71/794.79
  6. Step 6: Final answer
    x = 461.61

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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.