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Finding the Fourth Proportional to 1,504.53, 2,257.88 and 683.73

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Solution

The fourth proportional to 1,504.53, 2,257.88 and 683.73 is: 1,026.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.53 : 2,257.88 = 683.73 : x
  2. Step 2: Convert to fraction form
    1,504.53/2,257.88 = 683.73/x
  3. Step 3: Cross multiply
    1,504.53x = 2,257.88 × 683.73
  4. Step 4: Simplify right side
    1,504.53x = 1,543,776.87
  5. Step 5: Solve for x
    x = 1,543,776.87/1,504.53
  6. Step 6: Final answer
    x = 1,026.09

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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.