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Finding the Fourth Proportional to 846.16, 1,269.78 and 413.08

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Solution

The fourth proportional to 846.16, 1,269.78 and 413.08 is: 619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.16 : 1,269.78 = 413.08 : x
  2. Step 2: Convert to fraction form
    846.16/1,269.78 = 413.08/x
  3. Step 3: Cross multiply
    846.16x = 1,269.78 × 413.08
  4. Step 4: Simplify right side
    846.16x = 524,520.72
  5. Step 5: Solve for x
    x = 524,520.72/846.16
  6. Step 6: Final answer
    x = 619.88

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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.