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Finding the Fourth Proportional to 1,365.22, 2,047.86 and 440.86

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Solution

The fourth proportional to 1,365.22, 2,047.86 and 440.86 is: 661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.22 : 2,047.86 = 440.86 : x
  2. Step 2: Convert to fraction form
    1,365.22/2,047.86 = 440.86/x
  3. Step 3: Cross multiply
    1,365.22x = 2,047.86 × 440.86
  4. Step 4: Simplify right side
    1,365.22x = 902,817.36
  5. Step 5: Solve for x
    x = 902,817.36/1,365.22
  6. Step 6: Final answer
    x = 661.30

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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.