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Finding the Fourth Proportional to 783.56, 1,175.38 and 206.44

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Solution

The fourth proportional to 783.56, 1,175.38 and 206.44 is: 309.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.56 : 1,175.38 = 206.44 : x
  2. Step 2: Convert to fraction form
    783.56/1,175.38 = 206.44/x
  3. Step 3: Cross multiply
    783.56x = 1,175.38 × 206.44
  4. Step 4: Simplify right side
    783.56x = 242,641.99
  5. Step 5: Solve for x
    x = 242,641.99/783.56
  6. Step 6: Final answer
    x = 309.67

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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.