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Finding the Fourth Proportional to 1,450.32, 2,176.20 and 628.80

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Solution

The fourth proportional to 1,450.32, 2,176.20 and 628.80 is: 943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.32 : 2,176.20 = 628.80 : x
  2. Step 2: Convert to fraction form
    1,450.32/2,176.20 = 628.80/x
  3. Step 3: Cross multiply
    1,450.32x = 2,176.20 × 628.80
  4. Step 4: Simplify right side
    1,450.32x = 1,368,394.56
  5. Step 5: Solve for x
    x = 1,368,394.56/1,450.32
  6. Step 6: Final answer
    x = 943.51

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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.