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Finding the Fourth Proportional to 795.78, 1,193.13 and 384.48

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Solution

The fourth proportional to 795.78, 1,193.13 and 384.48 is: 576.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,193.13 = 384.48 : x
  2. Step 2: Convert to fraction form
    795.78/1,193.13 = 384.48/x
  3. Step 3: Cross multiply
    795.78x = 1,193.13 × 384.48
  4. Step 4: Simplify right side
    795.78x = 458,734.62
  5. Step 5: Solve for x
    x = 458,734.62/795.78
  6. Step 6: Final answer
    x = 576.46

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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.