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Finding the Fourth Proportional to 788.83, 1,183.54 and 326.65

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Solution

The fourth proportional to 788.83, 1,183.54 and 326.65 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.83 : 1,183.54 = 326.65 : x
  2. Step 2: Convert to fraction form
    788.83/1,183.54 = 326.65/x
  3. Step 3: Cross multiply
    788.83x = 1,183.54 × 326.65
  4. Step 4: Simplify right side
    788.83x = 386,603.34
  5. Step 5: Solve for x
    x = 386,603.34/788.83
  6. Step 6: Final answer
    x = 490.10

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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.