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Finding the Fourth Proportional to 783.82, 1,175.72 and 263.72

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Solution

The fourth proportional to 783.82, 1,175.72 and 263.72 is: 395.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.82 : 1,175.72 = 263.72 : x
  2. Step 2: Convert to fraction form
    783.82/1,175.72 = 263.72/x
  3. Step 3: Cross multiply
    783.82x = 1,175.72 × 263.72
  4. Step 4: Simplify right side
    783.82x = 310,060.88
  5. Step 5: Solve for x
    x = 310,060.88/783.82
  6. Step 6: Final answer
    x = 395.58

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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.