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Finding the Fourth Proportional to 1,169.98, 1,609.73 and 888.58

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Solution

The fourth proportional to 1,169.98, 1,609.73 and 888.58 is: 1,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.98 : 1,609.73 = 888.58 : x
  2. Step 2: Convert to fraction form
    1,169.98/1,609.73 = 888.58/x
  3. Step 3: Cross multiply
    1,169.98x = 1,609.73 × 888.58
  4. Step 4: Simplify right side
    1,169.98x = 1,430,373.88
  5. Step 5: Solve for x
    x = 1,430,373.88/1,169.98
  6. Step 6: Final answer
    x = 1,222.56

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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.