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Finding the Fourth Proportional to 783.73, 1,175.53 and 206.59

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Solution

The fourth proportional to 783.73, 1,175.53 and 206.59 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.73 : 1,175.53 = 206.59 : x
  2. Step 2: Convert to fraction form
    783.73/1,175.53 = 206.59/x
  3. Step 3: Cross multiply
    783.73x = 1,175.53 × 206.59
  4. Step 4: Simplify right side
    783.73x = 242,845.83
  5. Step 5: Solve for x
    x = 242,845.83/783.73
  6. Step 6: Final answer
    x = 309.86

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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.