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Finding the Fourth Proportional to 1,448.89, 1,998.68 and 859.01

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Solution

The fourth proportional to 1,448.89, 1,998.68 and 859.01 is: 1,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.89 : 1,998.68 = 859.01 : x
  2. Step 2: Convert to fraction form
    1,448.89/1,998.68 = 859.01/x
  3. Step 3: Cross multiply
    1,448.89x = 1,998.68 × 859.01
  4. Step 4: Simplify right side
    1,448.89x = 1,716,871.82
  5. Step 5: Solve for x
    x = 1,716,871.82/1,448.89
  6. Step 6: Final answer
    x = 1,184.96

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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.