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Finding the Fourth Proportional to 795.90, 1,193.54 and 275.76

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Solution

The fourth proportional to 795.90, 1,193.54 and 275.76 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.90 : 1,193.54 = 275.76 : x
  2. Step 2: Convert to fraction form
    795.90/1,193.54 = 275.76/x
  3. Step 3: Cross multiply
    795.90x = 1,193.54 × 275.76
  4. Step 4: Simplify right side
    795.90x = 329,131.28
  5. Step 5: Solve for x
    x = 329,131.28/795.90
  6. Step 6: Final answer
    x = 413.53

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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.