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Finding the Fourth Proportional to 680.71, 1,021.13 and 193.77

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Solution

The fourth proportional to 680.71, 1,021.13 and 193.77 is: 290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.71 : 1,021.13 = 193.77 : x
  2. Step 2: Convert to fraction form
    680.71/1,021.13 = 193.77/x
  3. Step 3: Cross multiply
    680.71x = 1,021.13 × 193.77
  4. Step 4: Simplify right side
    680.71x = 197,864.36
  5. Step 5: Solve for x
    x = 197,864.36/680.71
  6. Step 6: Final answer
    x = 290.67

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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.