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Finding the Fourth Proportional to 1,448.53, 1,999.02 and 859.39

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Solution

The fourth proportional to 1,448.53, 1,999.02 and 859.39 is: 1,185.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.53 : 1,999.02 = 859.39 : x
  2. Step 2: Convert to fraction form
    1,448.53/1,999.02 = 859.39/x
  3. Step 3: Cross multiply
    1,448.53x = 1,999.02 × 859.39
  4. Step 4: Simplify right side
    1,448.53x = 1,717,937.80
  5. Step 5: Solve for x
    x = 1,717,937.80/1,448.53
  6. Step 6: Final answer
    x = 1,185.99

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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.