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Finding the Fourth Proportional to 783.57, 1,175.42 and 206.44

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Solution

The fourth proportional to 783.57, 1,175.42 and 206.44 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.57 : 1,175.42 = 206.44 : x
  2. Step 2: Convert to fraction form
    783.57/1,175.42 = 206.44/x
  3. Step 3: Cross multiply
    783.57x = 1,175.42 × 206.44
  4. Step 4: Simplify right side
    783.57x = 242,653.70
  5. Step 5: Solve for x
    x = 242,653.70/783.57
  6. Step 6: Final answer
    x = 309.68

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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.