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Finding the Fourth Proportional to 921.94, 1,381.68 and 511.27

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Solution

The fourth proportional to 921.94, 1,381.68 and 511.27 is: 766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.94 : 1,381.68 = 511.27 : x
  2. Step 2: Convert to fraction form
    921.94/1,381.68 = 511.27/x
  3. Step 3: Cross multiply
    921.94x = 1,381.68 × 511.27
  4. Step 4: Simplify right side
    921.94x = 706,408.08
  5. Step 5: Solve for x
    x = 706,408.08/921.94
  6. Step 6: Final answer
    x = 766.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.