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Finding the Fourth Proportional to 966.61, 1,448.73 and 381.03

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Solution

The fourth proportional to 966.61, 1,448.73 and 381.03 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.61 : 1,448.73 = 381.03 : x
  2. Step 2: Convert to fraction form
    966.61/1,448.73 = 381.03/x
  3. Step 3: Cross multiply
    966.61x = 1,448.73 × 381.03
  4. Step 4: Simplify right side
    966.61x = 552,004.40
  5. Step 5: Solve for x
    x = 552,004.40/966.61
  6. Step 6: Final answer
    x = 571.07

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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.