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Finding the Fourth Proportional to 785.95, 1,178.63 and 237.96

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Solution

The fourth proportional to 785.95, 1,178.63 and 237.96 is: 356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.95 : 1,178.63 = 237.96 : x
  2. Step 2: Convert to fraction form
    785.95/1,178.63 = 237.96/x
  3. Step 3: Cross multiply
    785.95x = 1,178.63 × 237.96
  4. Step 4: Simplify right side
    785.95x = 280,460.90
  5. Step 5: Solve for x
    x = 280,460.90/785.95
  6. Step 6: Final answer
    x = 356.85

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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.