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Finding the Fourth Proportional to 1,106.12, 1,658.15 and 694.01

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Solution

The fourth proportional to 1,106.12, 1,658.15 and 694.01 is: 1,040.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.12 : 1,658.15 = 694.01 : x
  2. Step 2: Convert to fraction form
    1,106.12/1,658.15 = 694.01/x
  3. Step 3: Cross multiply
    1,106.12x = 1,658.15 × 694.01
  4. Step 4: Simplify right side
    1,106.12x = 1,150,772.68
  5. Step 5: Solve for x
    x = 1,150,772.68/1,106.12
  6. Step 6: Final answer
    x = 1,040.37

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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.