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Finding the Fourth Proportional to 918.72, 1,380.96 and 727.20

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Solution

The fourth proportional to 918.72, 1,380.96 and 727.20 is: 1,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.72 : 1,380.96 = 727.20 : x
  2. Step 2: Convert to fraction form
    918.72/1,380.96 = 727.20/x
  3. Step 3: Cross multiply
    918.72x = 1,380.96 × 727.20
  4. Step 4: Simplify right side
    918.72x = 1,004,234.11
  5. Step 5: Solve for x
    x = 1,004,234.11/918.72
  6. Step 6: Final answer
    x = 1,093.08

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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.