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Finding the Fourth Proportional to 1,503.23, 2,252.97 and 680.67

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Solution

The fourth proportional to 1,503.23, 2,252.97 and 680.67 is: 1,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.23 : 2,252.97 = 680.67 : x
  2. Step 2: Convert to fraction form
    1,503.23/2,252.97 = 680.67/x
  3. Step 3: Cross multiply
    1,503.23x = 2,252.97 × 680.67
  4. Step 4: Simplify right side
    1,503.23x = 1,533,529.09
  5. Step 5: Solve for x
    x = 1,533,529.09/1,503.23
  6. Step 6: Final answer
    x = 1,020.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.