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Finding the Fourth Proportional to 918.99, 1,375.41 and 765.22

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Solution

The fourth proportional to 918.99, 1,375.41 and 765.22 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.99 : 1,375.41 = 765.22 : x
  2. Step 2: Convert to fraction form
    918.99/1,375.41 = 765.22/x
  3. Step 3: Cross multiply
    918.99x = 1,375.41 × 765.22
  4. Step 4: Simplify right side
    918.99x = 1,052,491.24
  5. Step 5: Solve for x
    x = 1,052,491.24/918.99
  6. Step 6: Final answer
    x = 1,145.27

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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.