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Finding the Fourth Proportional to 795.64, 1,193.65 and 275.65

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Solution

The fourth proportional to 795.64, 1,193.65 and 275.65 is: 413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.64 : 1,193.65 = 275.65 : x
  2. Step 2: Convert to fraction form
    795.64/1,193.65 = 275.65/x
  3. Step 3: Cross multiply
    795.64x = 1,193.65 × 275.65
  4. Step 4: Simplify right side
    795.64x = 329,029.62
  5. Step 5: Solve for x
    x = 329,029.62/795.64
  6. Step 6: Final answer
    x = 413.54

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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.