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Finding the Fourth Proportional to 1,413.65, 2,120.15 and 536.25

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Solution

The fourth proportional to 1,413.65, 2,120.15 and 536.25 is: 804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.65 : 2,120.15 = 536.25 : x
  2. Step 2: Convert to fraction form
    1,413.65/2,120.15 = 536.25/x
  3. Step 3: Cross multiply
    1,413.65x = 2,120.15 × 536.25
  4. Step 4: Simplify right side
    1,413.65x = 1,136,939.73
  5. Step 5: Solve for x
    x = 1,136,939.73/1,413.65
  6. Step 6: Final answer
    x = 804.26

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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.