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Finding the Fourth Proportional to 1,269.92, 1,904.90 and 696.44

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Solution

The fourth proportional to 1,269.92, 1,904.90 and 696.44 is: 1,044.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.92 : 1,904.90 = 696.44 : x
  2. Step 2: Convert to fraction form
    1,269.92/1,904.90 = 696.44/x
  3. Step 3: Cross multiply
    1,269.92x = 1,904.90 × 696.44
  4. Step 4: Simplify right side
    1,269.92x = 1,326,648.56
  5. Step 5: Solve for x
    x = 1,326,648.56/1,269.92
  6. Step 6: Final answer
    x = 1,044.67

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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.