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Finding the Fourth Proportional to 1,448.84, 1,999.52 and 859.52

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Solution

The fourth proportional to 1,448.84, 1,999.52 and 859.52 is: 1,186.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.84 : 1,999.52 = 859.52 : x
  2. Step 2: Convert to fraction form
    1,448.84/1,999.52 = 859.52/x
  3. Step 3: Cross multiply
    1,448.84x = 1,999.52 × 859.52
  4. Step 4: Simplify right side
    1,448.84x = 1,718,627.43
  5. Step 5: Solve for x
    x = 1,718,627.43/1,448.84
  6. Step 6: Final answer
    x = 1,186.21

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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.