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Finding the Fourth Proportional to 1,413.15, 1,949.85 and 853.51

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Solution

The fourth proportional to 1,413.15, 1,949.85 and 853.51 is: 1,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.15 : 1,949.85 = 853.51 : x
  2. Step 2: Convert to fraction form
    1,413.15/1,949.85 = 853.51/x
  3. Step 3: Cross multiply
    1,413.15x = 1,949.85 × 853.51
  4. Step 4: Simplify right side
    1,413.15x = 1,664,223.74
  5. Step 5: Solve for x
    x = 1,664,223.74/1,413.15
  6. Step 6: Final answer
    x = 1,177.67

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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.