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Finding the Fourth Proportional to 795.78, 1,194.93 and 467.73

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Solution

The fourth proportional to 795.78, 1,194.93 and 467.73 is: 702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,194.93 = 467.73 : x
  2. Step 2: Convert to fraction form
    795.78/1,194.93 = 467.73/x
  3. Step 3: Cross multiply
    795.78x = 1,194.93 × 467.73
  4. Step 4: Simplify right side
    795.78x = 558,904.61
  5. Step 5: Solve for x
    x = 558,904.61/795.78
  6. Step 6: Final answer
    x = 702.34

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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.