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Finding the Fourth Proportional to 846.12, 1,269.18 and 413.40

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Solution

The fourth proportional to 846.12, 1,269.18 and 413.40 is: 620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.12 : 1,269.18 = 413.40 : x
  2. Step 2: Convert to fraction form
    846.12/1,269.18 = 413.40/x
  3. Step 3: Cross multiply
    846.12x = 1,269.18 × 413.40
  4. Step 4: Simplify right side
    846.12x = 524,679.01
  5. Step 5: Solve for x
    x = 524,679.01/846.12
  6. Step 6: Final answer
    x = 620.10

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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.