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Finding the Fourth Proportional to 783.82, 1,175.80 and 263.84

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Solution

The fourth proportional to 783.82, 1,175.80 and 263.84 is: 395.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.82 : 1,175.80 = 263.84 : x
  2. Step 2: Convert to fraction form
    783.82/1,175.80 = 263.84/x
  3. Step 3: Cross multiply
    783.82x = 1,175.80 × 263.84
  4. Step 4: Simplify right side
    783.82x = 310,223.07
  5. Step 5: Solve for x
    x = 310,223.07/783.82
  6. Step 6: Final answer
    x = 395.78

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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.