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Finding the Fourth Proportional to 796, 1,194.54 and 283

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Solution

The fourth proportional to 796, 1,194.54 and 283 is: 424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    796 : 1,194.54 = 283 : x
  2. Step 2: Convert to fraction form
    796/1,194.54 = 283/x
  3. Step 3: Cross multiply
    796x = 1,194.54 × 283
  4. Step 4: Simplify right side
    796x = 338,054.82
  5. Step 5: Solve for x
    x = 338,054.82/796
  6. Step 6: Final answer
    x = 424.69

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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.