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Finding the Fourth Proportional to 794.73, 1,190.78 and 562.47

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Solution

The fourth proportional to 794.73, 1,190.78 and 562.47 is: 842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.73 : 1,190.78 = 562.47 : x
  2. Step 2: Convert to fraction form
    794.73/1,190.78 = 562.47/x
  3. Step 3: Cross multiply
    794.73x = 1,190.78 × 562.47
  4. Step 4: Simplify right side
    794.73x = 669,775.21
  5. Step 5: Solve for x
    x = 669,775.21/794.73
  6. Step 6: Final answer
    x = 842.77

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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.