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Finding the Fourth Proportional to 683.81, 1,024.34 and 419.93

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Solution

The fourth proportional to 683.81, 1,024.34 and 419.93 is: 629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.81 : 1,024.34 = 419.93 : x
  2. Step 2: Convert to fraction form
    683.81/1,024.34 = 419.93/x
  3. Step 3: Cross multiply
    683.81x = 1,024.34 × 419.93
  4. Step 4: Simplify right side
    683.81x = 430,149.00
  5. Step 5: Solve for x
    x = 430,149.00/683.81
  6. Step 6: Final answer
    x = 629.05

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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.