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Finding the Fourth Proportional to 1,232.96, 1,850.28 and 684.80

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Solution

The fourth proportional to 1,232.96, 1,850.28 and 684.80 is: 1,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.96 : 1,850.28 = 684.80 : x
  2. Step 2: Convert to fraction form
    1,232.96/1,850.28 = 684.80/x
  3. Step 3: Cross multiply
    1,232.96x = 1,850.28 × 684.80
  4. Step 4: Simplify right side
    1,232.96x = 1,267,071.74
  5. Step 5: Solve for x
    x = 1,267,071.74/1,232.96
  6. Step 6: Final answer
    x = 1,027.67

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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.