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Finding the Fourth Proportional to 964.33, 1,445.06 and 443.04

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Solution

The fourth proportional to 964.33, 1,445.06 and 443.04 is: 663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.33 : 1,445.06 = 443.04 : x
  2. Step 2: Convert to fraction form
    964.33/1,445.06 = 443.04/x
  3. Step 3: Cross multiply
    964.33x = 1,445.06 × 443.04
  4. Step 4: Simplify right side
    964.33x = 640,219.38
  5. Step 5: Solve for x
    x = 640,219.38/964.33
  6. Step 6: Final answer
    x = 663.90

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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.