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Finding the Fourth Proportional to 846.10, 1,268.34 and 413.02

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Solution

The fourth proportional to 846.10, 1,268.34 and 413.02 is: 619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.10 : 1,268.34 = 413.02 : x
  2. Step 2: Convert to fraction form
    846.10/1,268.34 = 413.02/x
  3. Step 3: Cross multiply
    846.10x = 1,268.34 × 413.02
  4. Step 4: Simplify right side
    846.10x = 523,849.79
  5. Step 5: Solve for x
    x = 523,849.79/846.10
  6. Step 6: Final answer
    x = 619.13

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Why These Related Problems?

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