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Finding the Fourth Proportional to 1,431.39, 2,146.83 and 772.96

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Solution

The fourth proportional to 1,431.39, 2,146.83 and 772.96 is: 1,159.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.39 : 2,146.83 = 772.96 : x
  2. Step 2: Convert to fraction form
    1,431.39/2,146.83 = 772.96/x
  3. Step 3: Cross multiply
    1,431.39x = 2,146.83 × 772.96
  4. Step 4: Simplify right side
    1,431.39x = 1,659,413.72
  5. Step 5: Solve for x
    x = 1,659,413.72/1,431.39
  6. Step 6: Final answer
    x = 1,159.30

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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.