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Finding the Fourth Proportional to 1,413.72, 1,950.08 and 993.47

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Solution

The fourth proportional to 1,413.72, 1,950.08 and 993.47 is: 1,370.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.72 : 1,950.08 = 993.47 : x
  2. Step 2: Convert to fraction form
    1,413.72/1,950.08 = 993.47/x
  3. Step 3: Cross multiply
    1,413.72x = 1,950.08 × 993.47
  4. Step 4: Simplify right side
    1,413.72x = 1,937,331.26
  5. Step 5: Solve for x
    x = 1,937,331.26/1,413.72
  6. Step 6: Final answer
    x = 1,370.38

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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.