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Finding the Fourth Proportional to 786.41, 1,178.59 and 439.73

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Solution

The fourth proportional to 786.41, 1,178.59 and 439.73 is: 659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.41 : 1,178.59 = 439.73 : x
  2. Step 2: Convert to fraction form
    786.41/1,178.59 = 439.73/x
  3. Step 3: Cross multiply
    786.41x = 1,178.59 × 439.73
  4. Step 4: Simplify right side
    786.41x = 518,261.38
  5. Step 5: Solve for x
    x = 518,261.38/786.41
  6. Step 6: Final answer
    x = 659.02

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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.