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Finding the Fourth Proportional to 1,413.13, 2,119.67 and 580.01

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Solution

The fourth proportional to 1,413.13, 2,119.67 and 580.01 is: 870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.13 : 2,119.67 = 580.01 : x
  2. Step 2: Convert to fraction form
    1,413.13/2,119.67 = 580.01/x
  3. Step 3: Cross multiply
    1,413.13x = 2,119.67 × 580.01
  4. Step 4: Simplify right side
    1,413.13x = 1,229,430.40
  5. Step 5: Solve for x
    x = 1,229,430.40/1,413.13
  6. Step 6: Final answer
    x = 870.01

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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.