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Finding the Fourth Proportional to 1,413.84, 2,121.07 and 440.02

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Solution

The fourth proportional to 1,413.84, 2,121.07 and 440.02 is: 660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.84 : 2,121.07 = 440.02 : x
  2. Step 2: Convert to fraction form
    1,413.84/2,121.07 = 440.02/x
  3. Step 3: Cross multiply
    1,413.84x = 2,121.07 × 440.02
  4. Step 4: Simplify right side
    1,413.84x = 933,313.22
  5. Step 5: Solve for x
    x = 933,313.22/1,413.84
  6. Step 6: Final answer
    x = 660.13

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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.