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Finding the Fourth Proportional to 1,413.24, 1,950.28 and 783.73

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Solution

The fourth proportional to 1,413.24, 1,950.28 and 783.73 is: 1,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.24 : 1,950.28 = 783.73 : x
  2. Step 2: Convert to fraction form
    1,413.24/1,950.28 = 783.73/x
  3. Step 3: Cross multiply
    1,413.24x = 1,950.28 × 783.73
  4. Step 4: Simplify right side
    1,413.24x = 1,528,486.11
  5. Step 5: Solve for x
    x = 1,528,486.11/1,413.24
  6. Step 6: Final answer
    x = 1,081.55

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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.