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Finding the Fourth Proportional to 1,413.55, 1,950.63 and 823.99

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Solution

The fourth proportional to 1,413.55, 1,950.63 and 823.99 is: 1,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.55 : 1,950.63 = 823.99 : x
  2. Step 2: Convert to fraction form
    1,413.55/1,950.63 = 823.99/x
  3. Step 3: Cross multiply
    1,413.55x = 1,950.63 × 823.99
  4. Step 4: Simplify right side
    1,413.55x = 1,607,299.61
  5. Step 5: Solve for x
    x = 1,607,299.61/1,413.55
  6. Step 6: Final answer
    x = 1,137.07

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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.