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Finding the Fourth Proportional to 1,413.42, 1,950.33 and 783.94

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Solution

The fourth proportional to 1,413.42, 1,950.33 and 783.94 is: 1,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.42 : 1,950.33 = 783.94 : x
  2. Step 2: Convert to fraction form
    1,413.42/1,950.33 = 783.94/x
  3. Step 3: Cross multiply
    1,413.42x = 1,950.33 × 783.94
  4. Step 4: Simplify right side
    1,413.42x = 1,528,943.42
  5. Step 5: Solve for x
    x = 1,528,943.42/1,413.42
  6. Step 6: Final answer
    x = 1,081.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.