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Finding the Fourth Proportional to 1,101.09, 1,518.14 and 727.23

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Solution

The fourth proportional to 1,101.09, 1,518.14 and 727.23 is: 1,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.09 : 1,518.14 = 727.23 : x
  2. Step 2: Convert to fraction form
    1,101.09/1,518.14 = 727.23/x
  3. Step 3: Cross multiply
    1,101.09x = 1,518.14 × 727.23
  4. Step 4: Simplify right side
    1,101.09x = 1,104,035.92
  5. Step 5: Solve for x
    x = 1,104,035.92/1,101.09
  6. Step 6: Final answer
    x = 1,002.67

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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.