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Finding the Fourth Proportional to 1,413.17, 1,950.84 and 941.85

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Solution

The fourth proportional to 1,413.17, 1,950.84 and 941.85 is: 1,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.17 : 1,950.84 = 941.85 : x
  2. Step 2: Convert to fraction form
    1,413.17/1,950.84 = 941.85/x
  3. Step 3: Cross multiply
    1,413.17x = 1,950.84 × 941.85
  4. Step 4: Simplify right side
    1,413.17x = 1,837,398.65
  5. Step 5: Solve for x
    x = 1,837,398.65/1,413.17
  6. Step 6: Final answer
    x = 1,300.20

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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.