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Finding the Fourth Proportional to 794.92, 1,192.10 and 307.92

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Solution

The fourth proportional to 794.92, 1,192.10 and 307.92 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,192.10 = 307.92 : x
  2. Step 2: Convert to fraction form
    794.92/1,192.10 = 307.92/x
  3. Step 3: Cross multiply
    794.92x = 1,192.10 × 307.92
  4. Step 4: Simplify right side
    794.92x = 367,071.43
  5. Step 5: Solve for x
    x = 367,071.43/794.92
  6. Step 6: Final answer
    x = 461.77

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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.