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Finding the Fourth Proportional to 788.29, 1,181.66 and 294.34

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Solution

The fourth proportional to 788.29, 1,181.66 and 294.34 is: 441.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.29 : 1,181.66 = 294.34 : x
  2. Step 2: Convert to fraction form
    788.29/1,181.66 = 294.34/x
  3. Step 3: Cross multiply
    788.29x = 1,181.66 × 294.34
  4. Step 4: Simplify right side
    788.29x = 347,803.90
  5. Step 5: Solve for x
    x = 347,803.90/788.29
  6. Step 6: Final answer
    x = 441.22

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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.