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Finding the Fourth Proportional to 683.59, 1,024.93 and 293.84

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Solution

The fourth proportional to 683.59, 1,024.93 and 293.84 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.59 : 1,024.93 = 293.84 : x
  2. Step 2: Convert to fraction form
    683.59/1,024.93 = 293.84/x
  3. Step 3: Cross multiply
    683.59x = 1,024.93 × 293.84
  4. Step 4: Simplify right side
    683.59x = 301,165.43
  5. Step 5: Solve for x
    x = 301,165.43/683.59
  6. Step 6: Final answer
    x = 440.56

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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.