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Finding the Fourth Proportional to 1,413.04, 2,119.92 and 644.08

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Solution

The fourth proportional to 1,413.04, 2,119.92 and 644.08 is: 966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.04 : 2,119.92 = 644.08 : x
  2. Step 2: Convert to fraction form
    1,413.04/2,119.92 = 644.08/x
  3. Step 3: Cross multiply
    1,413.04x = 2,119.92 × 644.08
  4. Step 4: Simplify right side
    1,413.04x = 1,365,398.07
  5. Step 5: Solve for x
    x = 1,365,398.07/1,413.04
  6. Step 6: Final answer
    x = 966.28

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