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Finding the Fourth Proportional to 785.86, 1,178.88 and 208.78

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Solution

The fourth proportional to 785.86, 1,178.88 and 208.78 is: 313.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.86 : 1,178.88 = 208.78 : x
  2. Step 2: Convert to fraction form
    785.86/1,178.88 = 208.78/x
  3. Step 3: Cross multiply
    785.86x = 1,178.88 × 208.78
  4. Step 4: Simplify right side
    785.86x = 246,126.57
  5. Step 5: Solve for x
    x = 246,126.57/785.86
  6. Step 6: Final answer
    x = 313.19

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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.