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Finding the Fourth Proportional to 795.53, 1,193.38 and 275.46

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Solution

The fourth proportional to 795.53, 1,193.38 and 275.46 is: 413.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.53 : 1,193.38 = 275.46 : x
  2. Step 2: Convert to fraction form
    795.53/1,193.38 = 275.46/x
  3. Step 3: Cross multiply
    795.53x = 1,193.38 × 275.46
  4. Step 4: Simplify right side
    795.53x = 328,727.77
  5. Step 5: Solve for x
    x = 328,727.77/795.53
  6. Step 6: Final answer
    x = 413.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.