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Finding the Fourth Proportional to 796.92, 1,194.15 and 507.75

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Solution

The fourth proportional to 796.92, 1,194.15 and 507.75 is: 760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.92 : 1,194.15 = 507.75 : x
  2. Step 2: Convert to fraction form
    796.92/1,194.15 = 507.75/x
  3. Step 3: Cross multiply
    796.92x = 1,194.15 × 507.75
  4. Step 4: Simplify right side
    796.92x = 606,329.66
  5. Step 5: Solve for x
    x = 606,329.66/796.92
  6. Step 6: Final answer
    x = 760.84

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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.