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Finding the Fourth Proportional to 1,106.56, 1,658.19 and 694.45

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Solution

The fourth proportional to 1,106.56, 1,658.19 and 694.45 is: 1,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.56 : 1,658.19 = 694.45 : x
  2. Step 2: Convert to fraction form
    1,106.56/1,658.19 = 694.45/x
  3. Step 3: Cross multiply
    1,106.56x = 1,658.19 × 694.45
  4. Step 4: Simplify right side
    1,106.56x = 1,151,530.05
  5. Step 5: Solve for x
    x = 1,151,530.05/1,106.56
  6. Step 6: Final answer
    x = 1,040.64

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