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Finding the Fourth Proportional to 1,243.14, 1,866.57 and 696.42

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Solution

The fourth proportional to 1,243.14, 1,866.57 and 696.42 is: 1,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.14 : 1,866.57 = 696.42 : x
  2. Step 2: Convert to fraction form
    1,243.14/1,866.57 = 696.42/x
  3. Step 3: Cross multiply
    1,243.14x = 1,866.57 × 696.42
  4. Step 4: Simplify right side
    1,243.14x = 1,299,916.68
  5. Step 5: Solve for x
    x = 1,299,916.68/1,243.14
  6. Step 6: Final answer
    x = 1,045.67

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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.