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Finding the Fourth Proportional to 785.96, 1,178.54 and 298.64

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Solution

The fourth proportional to 785.96, 1,178.54 and 298.64 is: 447.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.96 : 1,178.54 = 298.64 : x
  2. Step 2: Convert to fraction form
    785.96/1,178.54 = 298.64/x
  3. Step 3: Cross multiply
    785.96x = 1,178.54 × 298.64
  4. Step 4: Simplify right side
    785.96x = 351,959.19
  5. Step 5: Solve for x
    x = 351,959.19/785.96
  6. Step 6: Final answer
    x = 447.81

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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.