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Finding the Fourth Proportional to 1,450.67, 2,001.85 and 821.03

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Solution

The fourth proportional to 1,450.67, 2,001.85 and 821.03 is: 1,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.67 : 2,001.85 = 821.03 : x
  2. Step 2: Convert to fraction form
    1,450.67/2,001.85 = 821.03/x
  3. Step 3: Cross multiply
    1,450.67x = 2,001.85 × 821.03
  4. Step 4: Simplify right side
    1,450.67x = 1,643,566.84
  5. Step 5: Solve for x
    x = 1,643,566.84/1,450.67
  6. Step 6: Final answer
    x = 1,132.97

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