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Finding the Fourth Proportional to 1,413.17, 1,949.99 and 783.69

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Solution

The fourth proportional to 1,413.17, 1,949.99 and 783.69 is: 1,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.17 : 1,949.99 = 783.69 : x
  2. Step 2: Convert to fraction form
    1,413.17/1,949.99 = 783.69/x
  3. Step 3: Cross multiply
    1,413.17x = 1,949.99 × 783.69
  4. Step 4: Simplify right side
    1,413.17x = 1,528,185.70
  5. Step 5: Solve for x
    x = 1,528,185.70/1,413.17
  6. Step 6: Final answer
    x = 1,081.39

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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.