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Finding the Fourth Proportional to 846.03, 1,269.03 and 413.10

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Solution

The fourth proportional to 846.03, 1,269.03 and 413.10 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.03 : 1,269.03 = 413.10 : x
  2. Step 2: Convert to fraction form
    846.03/1,269.03 = 413.10/x
  3. Step 3: Cross multiply
    846.03x = 1,269.03 × 413.10
  4. Step 4: Simplify right side
    846.03x = 524,236.29
  5. Step 5: Solve for x
    x = 524,236.29/846.03
  6. Step 6: Final answer
    x = 619.64

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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.