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Finding the Fourth Proportional to 730.65, 1,093.85 and 383.16

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Solution

The fourth proportional to 730.65, 1,093.85 and 383.16 is: 573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.65 : 1,093.85 = 383.16 : x
  2. Step 2: Convert to fraction form
    730.65/1,093.85 = 383.16/x
  3. Step 3: Cross multiply
    730.65x = 1,093.85 × 383.16
  4. Step 4: Simplify right side
    730.65x = 419,117.65
  5. Step 5: Solve for x
    x = 419,117.65/730.65
  6. Step 6: Final answer
    x = 573.62

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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.