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Finding the Fourth Proportional to 783.39, 1,175.09 and 206.26

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Solution

The fourth proportional to 783.39, 1,175.09 and 206.26 is: 309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.39 : 1,175.09 = 206.26 : x
  2. Step 2: Convert to fraction form
    783.39/1,175.09 = 206.26/x
  3. Step 3: Cross multiply
    783.39x = 1,175.09 × 206.26
  4. Step 4: Simplify right side
    783.39x = 242,374.06
  5. Step 5: Solve for x
    x = 242,374.06/783.39
  6. Step 6: Final answer
    x = 309.39

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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.