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Finding the Fourth Proportional to 796.07, 1,193.60 and 384.39

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Solution

The fourth proportional to 796.07, 1,193.60 and 384.39 is: 576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.07 : 1,193.60 = 384.39 : x
  2. Step 2: Convert to fraction form
    796.07/1,193.60 = 384.39/x
  3. Step 3: Cross multiply
    796.07x = 1,193.60 × 384.39
  4. Step 4: Simplify right side
    796.07x = 458,808.86
  5. Step 5: Solve for x
    x = 458,808.86/796.07
  6. Step 6: Final answer
    x = 576.34

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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.