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Finding the Fourth Proportional to 730.76, 1,095.94 and 319.80

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Solution

The fourth proportional to 730.76, 1,095.94 and 319.80 is: 479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.76 : 1,095.94 = 319.80 : x
  2. Step 2: Convert to fraction form
    730.76/1,095.94 = 319.80/x
  3. Step 3: Cross multiply
    730.76x = 1,095.94 × 319.80
  4. Step 4: Simplify right side
    730.76x = 350,481.61
  5. Step 5: Solve for x
    x = 350,481.61/730.76
  6. Step 6: Final answer
    x = 479.61

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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.