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Finding the Fourth Proportional to 944.92, 1,304.40 and 735.67

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Solution

The fourth proportional to 944.92, 1,304.40 and 735.67 is: 1,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.92 : 1,304.40 = 735.67 : x
  2. Step 2: Convert to fraction form
    944.92/1,304.40 = 735.67/x
  3. Step 3: Cross multiply
    944.92x = 1,304.40 × 735.67
  4. Step 4: Simplify right side
    944.92x = 959,607.95
  5. Step 5: Solve for x
    x = 959,607.95/944.92
  6. Step 6: Final answer
    x = 1,015.54

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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.