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Finding the Fourth Proportional to 1,432.67, 2,149.74 and 683.03

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Solution

The fourth proportional to 1,432.67, 2,149.74 and 683.03 is: 1,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.67 : 2,149.74 = 683.03 : x
  2. Step 2: Convert to fraction form
    1,432.67/2,149.74 = 683.03/x
  3. Step 3: Cross multiply
    1,432.67x = 2,149.74 × 683.03
  4. Step 4: Simplify right side
    1,432.67x = 1,468,336.91
  5. Step 5: Solve for x
    x = 1,468,336.91/1,432.67
  6. Step 6: Final answer
    x = 1,024.90

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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.