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Finding the Fourth Proportional to 794.73, 1,192.71 and 307.92

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Solution

The fourth proportional to 794.73, 1,192.71 and 307.92 is: 462.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.73 : 1,192.71 = 307.92 : x
  2. Step 2: Convert to fraction form
    794.73/1,192.71 = 307.92/x
  3. Step 3: Cross multiply
    794.73x = 1,192.71 × 307.92
  4. Step 4: Simplify right side
    794.73x = 367,259.26
  5. Step 5: Solve for x
    x = 367,259.26/794.73
  6. Step 6: Final answer
    x = 462.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.