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Finding the Fourth Proportional to 1,413.08, 1,950.17 and 823.67

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Solution

The fourth proportional to 1,413.08, 1,950.17 and 823.67 is: 1,136.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.08 : 1,950.17 = 823.67 : x
  2. Step 2: Convert to fraction form
    1,413.08/1,950.17 = 823.67/x
  3. Step 3: Cross multiply
    1,413.08x = 1,950.17 × 823.67
  4. Step 4: Simplify right side
    1,413.08x = 1,606,282.65
  5. Step 5: Solve for x
    x = 1,606,282.65/1,413.08
  6. Step 6: Final answer
    x = 1,136.73

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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.