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Finding the Fourth Proportional to 966.07, 1,448.82 and 418.12

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Solution

The fourth proportional to 966.07, 1,448.82 and 418.12 is: 627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.07 : 1,448.82 = 418.12 : x
  2. Step 2: Convert to fraction form
    966.07/1,448.82 = 418.12/x
  3. Step 3: Cross multiply
    966.07x = 1,448.82 × 418.12
  4. Step 4: Simplify right side
    966.07x = 605,780.62
  5. Step 5: Solve for x
    x = 605,780.62/966.07
  6. Step 6: Final answer
    x = 627.06

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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.