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Finding the Fourth Proportional to 727.36, 1,090.68 and 380.64

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Solution

The fourth proportional to 727.36, 1,090.68 and 380.64 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.36 : 1,090.68 = 380.64 : x
  2. Step 2: Convert to fraction form
    727.36/1,090.68 = 380.64/x
  3. Step 3: Cross multiply
    727.36x = 1,090.68 × 380.64
  4. Step 4: Simplify right side
    727.36x = 415,156.44
  5. Step 5: Solve for x
    x = 415,156.44/727.36
  6. Step 6: Final answer
    x = 570.77

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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.