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Finding the Fourth Proportional to 783.79, 1,175.67 and 206.66

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Solution

The fourth proportional to 783.79, 1,175.67 and 206.66 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.79 : 1,175.67 = 206.66 : x
  2. Step 2: Convert to fraction form
    783.79/1,175.67 = 206.66/x
  3. Step 3: Cross multiply
    783.79x = 1,175.67 × 206.66
  4. Step 4: Simplify right side
    783.79x = 242,963.96
  5. Step 5: Solve for x
    x = 242,963.96/783.79
  6. Step 6: Final answer
    x = 309.99

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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.