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Finding the Fourth Proportional to 683.62, 1,023.42 and 463.67

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Solution

The fourth proportional to 683.62, 1,023.42 and 463.67 is: 694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.62 : 1,023.42 = 463.67 : x
  2. Step 2: Convert to fraction form
    683.62/1,023.42 = 463.67/x
  3. Step 3: Cross multiply
    683.62x = 1,023.42 × 463.67
  4. Step 4: Simplify right side
    683.62x = 474,532.76
  5. Step 5: Solve for x
    x = 474,532.76/683.62
  6. Step 6: Final answer
    x = 694.14

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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.