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Finding the Fourth Proportional to 981.08, 1,464.60 and 946.92

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Solution

The fourth proportional to 981.08, 1,464.60 and 946.92 is: 1,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.08 : 1,464.60 = 946.92 : x
  2. Step 2: Convert to fraction form
    981.08/1,464.60 = 946.92/x
  3. Step 3: Cross multiply
    981.08x = 1,464.60 × 946.92
  4. Step 4: Simplify right side
    981.08x = 1,386,859.03
  5. Step 5: Solve for x
    x = 1,386,859.03/981.08
  6. Step 6: Final answer
    x = 1,413.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.