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Finding the Fourth Proportional to 923.20, 1,274.10 and 550.16

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Solution

The fourth proportional to 923.20, 1,274.10 and 550.16 is: 759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.20 : 1,274.10 = 550.16 : x
  2. Step 2: Convert to fraction form
    923.20/1,274.10 = 550.16/x
  3. Step 3: Cross multiply
    923.20x = 1,274.10 × 550.16
  4. Step 4: Simplify right side
    923.20x = 700,955.20
  5. Step 5: Solve for x
    x = 700,955.20/923.20
  6. Step 6: Final answer
    x = 759.27

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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.