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Finding the Fourth Proportional to 1,413.40, 1,950.46 and 783.93

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Solution

The fourth proportional to 1,413.40, 1,950.46 and 783.93 is: 1,081.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.40 : 1,950.46 = 783.93 : x
  2. Step 2: Convert to fraction form
    1,413.40/1,950.46 = 783.93/x
  3. Step 3: Cross multiply
    1,413.40x = 1,950.46 × 783.93
  4. Step 4: Simplify right side
    1,413.40x = 1,529,024.11
  5. Step 5: Solve for x
    x = 1,529,024.11/1,413.40
  6. Step 6: Final answer
    x = 1,081.81

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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.