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Finding the Fourth Proportional to 1,450.57, 2,176.21 and 424.57

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Solution

The fourth proportional to 1,450.57, 2,176.21 and 424.57 is: 636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.57 : 2,176.21 = 424.57 : x
  2. Step 2: Convert to fraction form
    1,450.57/2,176.21 = 424.57/x
  3. Step 3: Cross multiply
    1,450.57x = 2,176.21 × 424.57
  4. Step 4: Simplify right side
    1,450.57x = 923,940.48
  5. Step 5: Solve for x
    x = 923,940.48/1,450.57
  6. Step 6: Final answer
    x = 636.95

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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.