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Finding the Fourth Proportional to 1,186.44, 1,626.87 and 1,145.24

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Solution

The fourth proportional to 1,186.44, 1,626.87 and 1,145.24 is: 1,570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.44 : 1,626.87 = 1,145.24 : x
  2. Step 2: Convert to fraction form
    1,186.44/1,626.87 = 1,145.24/x
  3. Step 3: Cross multiply
    1,186.44x = 1,626.87 × 1,145.24
  4. Step 4: Simplify right side
    1,186.44x = 1,863,156.60
  5. Step 5: Solve for x
    x = 1,863,156.60/1,186.44
  6. Step 6: Final answer
    x = 1,570.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.