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Finding the Fourth Proportional to 783.87, 1,175.96 and 263.85

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Solution

The fourth proportional to 783.87, 1,175.96 and 263.85 is: 395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.87 : 1,175.96 = 263.85 : x
  2. Step 2: Convert to fraction form
    783.87/1,175.96 = 263.85/x
  3. Step 3: Cross multiply
    783.87x = 1,175.96 × 263.85
  4. Step 4: Simplify right side
    783.87x = 310,277.05
  5. Step 5: Solve for x
    x = 310,277.05/783.87
  6. Step 6: Final answer
    x = 395.83

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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.