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Finding the Fourth Proportional to 783.41, 1,175.13 and 206.28

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Solution

The fourth proportional to 783.41, 1,175.13 and 206.28 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.41 : 1,175.13 = 206.28 : x
  2. Step 2: Convert to fraction form
    783.41/1,175.13 = 206.28/x
  3. Step 3: Cross multiply
    783.41x = 1,175.13 × 206.28
  4. Step 4: Simplify right side
    783.41x = 242,405.82
  5. Step 5: Solve for x
    x = 242,405.82/783.41
  6. Step 6: Final answer
    x = 309.43

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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.