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Finding the Fourth Proportional to 1,134.67, 1,698.66 and 1,106.73

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Solution

The fourth proportional to 1,134.67, 1,698.66 and 1,106.73 is: 1,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.67 : 1,698.66 = 1,106.73 : x
  2. Step 2: Convert to fraction form
    1,134.67/1,698.66 = 1,106.73/x
  3. Step 3: Cross multiply
    1,134.67x = 1,698.66 × 1,106.73
  4. Step 4: Simplify right side
    1,134.67x = 1,879,957.98
  5. Step 5: Solve for x
    x = 1,879,957.98/1,134.67
  6. Step 6: Final answer
    x = 1,656.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.