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Finding the Fourth Proportional to 1,186.07, 1,636.81 and 662.06

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Solution

The fourth proportional to 1,186.07, 1,636.81 and 662.06 is: 913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.07 : 1,636.81 = 662.06 : x
  2. Step 2: Convert to fraction form
    1,186.07/1,636.81 = 662.06/x
  3. Step 3: Cross multiply
    1,186.07x = 1,636.81 × 662.06
  4. Step 4: Simplify right side
    1,186.07x = 1,083,668.87
  5. Step 5: Solve for x
    x = 1,083,668.87/1,186.07
  6. Step 6: Final answer
    x = 913.67

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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.