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Finding the Fourth Proportional to 680.22, 1,019.52 and 473.67

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Solution

The fourth proportional to 680.22, 1,019.52 and 473.67 is: 709.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.22 : 1,019.52 = 473.67 : x
  2. Step 2: Convert to fraction form
    680.22/1,019.52 = 473.67/x
  3. Step 3: Cross multiply
    680.22x = 1,019.52 × 473.67
  4. Step 4: Simplify right side
    680.22x = 482,916.04
  5. Step 5: Solve for x
    x = 482,916.04/680.22
  6. Step 6: Final answer
    x = 709.94

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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.