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Finding the Fourth Proportional to 1,413.02, 1,950.12 and 823.74

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Solution

The fourth proportional to 1,413.02, 1,950.12 and 823.74 is: 1,136.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.02 : 1,950.12 = 823.74 : x
  2. Step 2: Convert to fraction form
    1,413.02/1,950.12 = 823.74/x
  3. Step 3: Cross multiply
    1,413.02x = 1,950.12 × 823.74
  4. Step 4: Simplify right side
    1,413.02x = 1,606,391.85
  5. Step 5: Solve for x
    x = 1,606,391.85/1,413.02
  6. Step 6: Final answer
    x = 1,136.85

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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.