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Finding the Fourth Proportional to 1,450.69, 2,002.99 and 891.91

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Solution

The fourth proportional to 1,450.69, 2,002.99 and 891.91 is: 1,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.69 : 2,002.99 = 891.91 : x
  2. Step 2: Convert to fraction form
    1,450.69/2,002.99 = 891.91/x
  3. Step 3: Cross multiply
    1,450.69x = 2,002.99 × 891.91
  4. Step 4: Simplify right side
    1,450.69x = 1,786,479.57
  5. Step 5: Solve for x
    x = 1,786,479.57/1,450.69
  6. Step 6: Final answer
    x = 1,231.47

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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.