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Finding the Fourth Proportional to 783.53, 1,175.37 and 206.41

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Solution

The fourth proportional to 783.53, 1,175.37 and 206.41 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.53 : 1,175.37 = 206.41 : x
  2. Step 2: Convert to fraction form
    783.53/1,175.37 = 206.41/x
  3. Step 3: Cross multiply
    783.53x = 1,175.37 × 206.41
  4. Step 4: Simplify right side
    783.53x = 242,604.67
  5. Step 5: Solve for x
    x = 242,604.67/783.53
  6. Step 6: Final answer
    x = 309.63

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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.