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Finding the Fourth Proportional to 783.44, 1,175.17 and 206.31

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Solution

The fourth proportional to 783.44, 1,175.17 and 206.31 is: 309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.44 : 1,175.17 = 206.31 : x
  2. Step 2: Convert to fraction form
    783.44/1,175.17 = 206.31/x
  3. Step 3: Cross multiply
    783.44x = 1,175.17 × 206.31
  4. Step 4: Simplify right side
    783.44x = 242,449.32
  5. Step 5: Solve for x
    x = 242,449.32/783.44
  6. Step 6: Final answer
    x = 309.47

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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.