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Finding the Fourth Proportional to 785.95, 1,178.93 and 208.83

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Solution

The fourth proportional to 785.95, 1,178.93 and 208.83 is: 313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.95 : 1,178.93 = 208.83 : x
  2. Step 2: Convert to fraction form
    785.95/1,178.93 = 208.83/x
  3. Step 3: Cross multiply
    785.95x = 1,178.93 × 208.83
  4. Step 4: Simplify right side
    785.95x = 246,193.68
  5. Step 5: Solve for x
    x = 246,193.68/785.95
  6. Step 6: Final answer
    x = 313.24

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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.