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Finding the Fourth Proportional to 683.76, 1,024.32 and 440.40

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Solution

The fourth proportional to 683.76, 1,024.32 and 440.40 is: 659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.76 : 1,024.32 = 440.40 : x
  2. Step 2: Convert to fraction form
    683.76/1,024.32 = 440.40/x
  3. Step 3: Cross multiply
    683.76x = 1,024.32 × 440.40
  4. Step 4: Simplify right side
    683.76x = 451,110.53
  5. Step 5: Solve for x
    x = 451,110.53/683.76
  6. Step 6: Final answer
    x = 659.75

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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.