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Finding the Fourth Proportional to 1,141.06, 1,709.11 and 700.98

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Solution

The fourth proportional to 1,141.06, 1,709.11 and 700.98 is: 1,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.06 : 1,709.11 = 700.98 : x
  2. Step 2: Convert to fraction form
    1,141.06/1,709.11 = 700.98/x
  3. Step 3: Cross multiply
    1,141.06x = 1,709.11 × 700.98
  4. Step 4: Simplify right side
    1,141.06x = 1,198,051.93
  5. Step 5: Solve for x
    x = 1,198,051.93/1,141.06
  6. Step 6: Final answer
    x = 1,049.95

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Why These Related Problems?

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