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Finding the Fourth Proportional to 1,365.05, 2,047.91 and 440.69

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Solution

The fourth proportional to 1,365.05, 2,047.91 and 440.69 is: 661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.05 : 2,047.91 = 440.69 : x
  2. Step 2: Convert to fraction form
    1,365.05/2,047.91 = 440.69/x
  3. Step 3: Cross multiply
    1,365.05x = 2,047.91 × 440.69
  4. Step 4: Simplify right side
    1,365.05x = 902,481.01
  5. Step 5: Solve for x
    x = 902,481.01/1,365.05
  6. Step 6: Final answer
    x = 661.14

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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.