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Finding the Fourth Proportional to 921.13, 1,381.85 and 428.03

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Solution

The fourth proportional to 921.13, 1,381.85 and 428.03 is: 642.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.13 : 1,381.85 = 428.03 : x
  2. Step 2: Convert to fraction form
    921.13/1,381.85 = 428.03/x
  3. Step 3: Cross multiply
    921.13x = 1,381.85 × 428.03
  4. Step 4: Simplify right side
    921.13x = 591,473.26
  5. Step 5: Solve for x
    x = 591,473.26/921.13
  6. Step 6: Final answer
    x = 642.12

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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.