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Finding the Fourth Proportional to 1,413.10, 1,949.97 and 783.55

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Solution

The fourth proportional to 1,413.10, 1,949.97 and 783.55 is: 1,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.10 : 1,949.97 = 783.55 : x
  2. Step 2: Convert to fraction form
    1,413.10/1,949.97 = 783.55/x
  3. Step 3: Cross multiply
    1,413.10x = 1,949.97 × 783.55
  4. Step 4: Simplify right side
    1,413.10x = 1,527,898.99
  5. Step 5: Solve for x
    x = 1,527,898.99/1,413.10
  6. Step 6: Final answer
    x = 1,081.24

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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.