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Finding the Fourth Proportional to 793.99, 1,191.19 and 383.32

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Solution

The fourth proportional to 793.99, 1,191.19 and 383.32 is: 575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.99 : 1,191.19 = 383.32 : x
  2. Step 2: Convert to fraction form
    793.99/1,191.19 = 383.32/x
  3. Step 3: Cross multiply
    793.99x = 1,191.19 × 383.32
  4. Step 4: Simplify right side
    793.99x = 456,606.95
  5. Step 5: Solve for x
    x = 456,606.95/793.99
  6. Step 6: Final answer
    x = 575.08

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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.