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Finding the Fourth Proportional to 683.82, 1,025.72 and 463.90

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Solution

The fourth proportional to 683.82, 1,025.72 and 463.90 is: 695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.82 : 1,025.72 = 463.90 : x
  2. Step 2: Convert to fraction form
    683.82/1,025.72 = 463.90/x
  3. Step 3: Cross multiply
    683.82x = 1,025.72 × 463.90
  4. Step 4: Simplify right side
    683.82x = 475,825.54
  5. Step 5: Solve for x
    x = 475,825.54/683.82
  6. Step 6: Final answer
    x = 695.84

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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.