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Finding the Fourth Proportional to 785.84, 1,178.63 and 237.93

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Solution

The fourth proportional to 785.84, 1,178.63 and 237.93 is: 356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.84 : 1,178.63 = 237.93 : x
  2. Step 2: Convert to fraction form
    785.84/1,178.63 = 237.93/x
  3. Step 3: Cross multiply
    785.84x = 1,178.63 × 237.93
  4. Step 4: Simplify right side
    785.84x = 280,431.44
  5. Step 5: Solve for x
    x = 280,431.44/785.84
  6. Step 6: Final answer
    x = 356.86

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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.