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Finding the Fourth Proportional to 1,413.92, 2,121.23 and 591.77

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Solution

The fourth proportional to 1,413.92, 2,121.23 and 591.77 is: 887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.92 : 2,121.23 = 591.77 : x
  2. Step 2: Convert to fraction form
    1,413.92/2,121.23 = 591.77/x
  3. Step 3: Cross multiply
    1,413.92x = 2,121.23 × 591.77
  4. Step 4: Simplify right side
    1,413.92x = 1,255,266.71
  5. Step 5: Solve for x
    x = 1,255,266.71/1,413.92
  6. Step 6: Final answer
    x = 887.80

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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.