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Finding the Fourth Proportional to 1,448.33, 1,997.99 and 858.45

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Solution

The fourth proportional to 1,448.33, 1,997.99 and 858.45 is: 1,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.33 : 1,997.99 = 858.45 : x
  2. Step 2: Convert to fraction form
    1,448.33/1,997.99 = 858.45/x
  3. Step 3: Cross multiply
    1,448.33x = 1,997.99 × 858.45
  4. Step 4: Simplify right side
    1,448.33x = 1,715,172.11
  5. Step 5: Solve for x
    x = 1,715,172.11/1,448.33
  6. Step 6: Final answer
    x = 1,184.24

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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.