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Finding the Fourth Proportional to 785.76, 1,179.38 and 415.84

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Solution

The fourth proportional to 785.76, 1,179.38 and 415.84 is: 624.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.76 : 1,179.38 = 415.84 : x
  2. Step 2: Convert to fraction form
    785.76/1,179.38 = 415.84/x
  3. Step 3: Cross multiply
    785.76x = 1,179.38 × 415.84
  4. Step 4: Simplify right side
    785.76x = 490,433.38
  5. Step 5: Solve for x
    x = 490,433.38/785.76
  6. Step 6: Final answer
    x = 624.15

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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.