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Finding the Fourth Proportional to 1,311.03, 1,966.74 and 694.58

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Solution

The fourth proportional to 1,311.03, 1,966.74 and 694.58 is: 1,041.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.03 : 1,966.74 = 694.58 : x
  2. Step 2: Convert to fraction form
    1,311.03/1,966.74 = 694.58/x
  3. Step 3: Cross multiply
    1,311.03x = 1,966.74 × 694.58
  4. Step 4: Simplify right side
    1,311.03x = 1,366,048.44
  5. Step 5: Solve for x
    x = 1,366,048.44/1,311.03
  6. Step 6: Final answer
    x = 1,041.97

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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.