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Finding the Fourth Proportional to 1,448.98, 1,999.55 and 859.50

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Solution

The fourth proportional to 1,448.98, 1,999.55 and 859.50 is: 1,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.98 : 1,999.55 = 859.50 : x
  2. Step 2: Convert to fraction form
    1,448.98/1,999.55 = 859.50/x
  3. Step 3: Cross multiply
    1,448.98x = 1,999.55 × 859.50
  4. Step 4: Simplify right side
    1,448.98x = 1,718,615.37
  5. Step 5: Solve for x
    x = 1,718,615.37/1,448.98
  6. Step 6: Final answer
    x = 1,186.09

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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.