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Finding the Fourth Proportional to 785.54, 1,178.06 and 298.46

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Solution

The fourth proportional to 785.54, 1,178.06 and 298.46 is: 447.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.54 : 1,178.06 = 298.46 : x
  2. Step 2: Convert to fraction form
    785.54/1,178.06 = 298.46/x
  3. Step 3: Cross multiply
    785.54x = 1,178.06 × 298.46
  4. Step 4: Simplify right side
    785.54x = 351,596.41
  5. Step 5: Solve for x
    x = 351,596.41/785.54
  6. Step 6: Final answer
    x = 447.59

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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.