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Finding the Fourth Proportional to 900.75, 1,243.44 and 665.18

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Solution

The fourth proportional to 900.75, 1,243.44 and 665.18 is: 918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.75 : 1,243.44 = 665.18 : x
  2. Step 2: Convert to fraction form
    900.75/1,243.44 = 665.18/x
  3. Step 3: Cross multiply
    900.75x = 1,243.44 × 665.18
  4. Step 4: Simplify right side
    900.75x = 827,105.20
  5. Step 5: Solve for x
    x = 827,105.20/900.75
  6. Step 6: Final answer
    x = 918.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.