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Finding the Fourth Proportional to 683.89, 1,026.02 and 293.69

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Solution

The fourth proportional to 683.89, 1,026.02 and 293.69 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.89 : 1,026.02 = 293.69 : x
  2. Step 2: Convert to fraction form
    683.89/1,026.02 = 293.69/x
  3. Step 3: Cross multiply
    683.89x = 1,026.02 × 293.69
  4. Step 4: Simplify right side
    683.89x = 301,335.11
  5. Step 5: Solve for x
    x = 301,335.11/683.89
  6. Step 6: Final answer
    x = 440.62

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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.