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Finding the Fourth Proportional to 1,237.03, 1,706.70 and 1,183.12

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Solution

The fourth proportional to 1,237.03, 1,706.70 and 1,183.12 is: 1,632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.03 : 1,706.70 = 1,183.12 : x
  2. Step 2: Convert to fraction form
    1,237.03/1,706.70 = 1,183.12/x
  3. Step 3: Cross multiply
    1,237.03x = 1,706.70 × 1,183.12
  4. Step 4: Simplify right side
    1,237.03x = 2,019,230.90
  5. Step 5: Solve for x
    x = 2,019,230.90/1,237.03
  6. Step 6: Final answer
    x = 1,632.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.