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Finding the Fourth Proportional to 1,166.98, 1,609.73 and 747.19

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Solution

The fourth proportional to 1,166.98, 1,609.73 and 747.19 is: 1,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.98 : 1,609.73 = 747.19 : x
  2. Step 2: Convert to fraction form
    1,166.98/1,609.73 = 747.19/x
  3. Step 3: Cross multiply
    1,166.98x = 1,609.73 × 747.19
  4. Step 4: Simplify right side
    1,166.98x = 1,202,766.40
  5. Step 5: Solve for x
    x = 1,202,766.40/1,166.98
  6. Step 6: Final answer
    x = 1,030.67

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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.