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Finding the Fourth Proportional to 785.49, 1,178.58 and 298.43

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Solution

The fourth proportional to 785.49, 1,178.58 and 298.43 is: 447.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.49 : 1,178.58 = 298.43 : x
  2. Step 2: Convert to fraction form
    785.49/1,178.58 = 298.43/x
  3. Step 3: Cross multiply
    785.49x = 1,178.58 × 298.43
  4. Step 4: Simplify right side
    785.49x = 351,717.44
  5. Step 5: Solve for x
    x = 351,717.44/785.49
  6. Step 6: Final answer
    x = 447.77

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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.