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Finding the Fourth Proportional to 783.62, 1,175.28 and 263.54

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Solution

The fourth proportional to 783.62, 1,175.28 and 263.54 is: 395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.62 : 1,175.28 = 263.54 : x
  2. Step 2: Convert to fraction form
    783.62/1,175.28 = 263.54/x
  3. Step 3: Cross multiply
    783.62x = 1,175.28 × 263.54
  4. Step 4: Simplify right side
    783.62x = 309,733.29
  5. Step 5: Solve for x
    x = 309,733.29/783.62
  6. Step 6: Final answer
    x = 395.26

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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.