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Finding the Fourth Proportional to 845.68, 1,268.52 and 413.20

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Solution

The fourth proportional to 845.68, 1,268.52 and 413.20 is: 619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.68 : 1,268.52 = 413.20 : x
  2. Step 2: Convert to fraction form
    845.68/1,268.52 = 413.20/x
  3. Step 3: Cross multiply
    845.68x = 1,268.52 × 413.20
  4. Step 4: Simplify right side
    845.68x = 524,152.46
  5. Step 5: Solve for x
    x = 524,152.46/845.68
  6. Step 6: Final answer
    x = 619.80

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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.