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Finding the Fourth Proportional to 1,413.08, 1,950 and 783.59

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Solution

The fourth proportional to 1,413.08, 1,950 and 783.59 is: 1,081.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.08 : 1,950 = 783.59 : x
  2. Step 2: Convert to fraction form
    1,413.08/1,950 = 783.59/x
  3. Step 3: Cross multiply
    1,413.08x = 1,950 × 783.59
  4. Step 4: Simplify right side
    1,413.08x = 1,527,990.75
  5. Step 5: Solve for x
    x = 1,527,990.75/1,413.08
  6. Step 6: Final answer
    x = 1,081.32

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Why These Related Problems?

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