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Finding the Fourth Proportional to 1,183.12, 1,774.14 and 858.04

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Solution

The fourth proportional to 1,183.12, 1,774.14 and 858.04 is: 1,286.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.12 : 1,774.14 = 858.04 : x
  2. Step 2: Convert to fraction form
    1,183.12/1,774.14 = 858.04/x
  3. Step 3: Cross multiply
    1,183.12x = 1,774.14 × 858.04
  4. Step 4: Simplify right side
    1,183.12x = 1,522,283.09
  5. Step 5: Solve for x
    x = 1,522,283.09/1,183.12
  6. Step 6: Final answer
    x = 1,286.67

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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.