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Finding the Fourth Proportional to 1,413.87, 2,116.54 and 762.63

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Solution

The fourth proportional to 1,413.87, 2,116.54 and 762.63 is: 1,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.87 : 2,116.54 = 762.63 : x
  2. Step 2: Convert to fraction form
    1,413.87/2,116.54 = 762.63/x
  3. Step 3: Cross multiply
    1,413.87x = 2,116.54 × 762.63
  4. Step 4: Simplify right side
    1,413.87x = 1,614,136.90
  5. Step 5: Solve for x
    x = 1,614,136.90/1,413.87
  6. Step 6: Final answer
    x = 1,141.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.