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Finding the Fourth Proportional to 1,448.34, 1,998.89 and 859.10

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Solution

The fourth proportional to 1,448.34, 1,998.89 and 859.10 is: 1,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.34 : 1,998.89 = 859.10 : x
  2. Step 2: Convert to fraction form
    1,448.34/1,998.89 = 859.10/x
  3. Step 3: Cross multiply
    1,448.34x = 1,998.89 × 859.10
  4. Step 4: Simplify right side
    1,448.34x = 1,717,246.40
  5. Step 5: Solve for x
    x = 1,717,246.40/1,448.34
  6. Step 6: Final answer
    x = 1,185.67

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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.