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Finding the Fourth Proportional to 1,450, 2,001 and 829

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Solution

The fourth proportional to 1,450, 2,001 and 829 is: 1,144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450 : 2,001 = 829 : x
  2. Step 2: Convert to fraction form
    1,450/2,001 = 829/x
  3. Step 3: Cross multiply
    1,450x = 2,001 × 829
  4. Step 4: Simplify right side
    1,450x = 1,658,829
  5. Step 5: Solve for x
    x = 1,658,829/1,450
  6. Step 6: Final answer
    x = 1,144.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.