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Finding the Fourth Proportional to 942.14, 1,413.27 and 283.95

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Solution

The fourth proportional to 942.14, 1,413.27 and 283.95 is: 425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.14 : 1,413.27 = 283.95 : x
  2. Step 2: Convert to fraction form
    942.14/1,413.27 = 283.95/x
  3. Step 3: Cross multiply
    942.14x = 1,413.27 × 283.95
  4. Step 4: Simplify right side
    942.14x = 401,298.02
  5. Step 5: Solve for x
    x = 401,298.02/942.14
  6. Step 6: Final answer
    x = 425.95

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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.