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Finding the Fourth Proportional to 846.47, 1,269.27 and 413.25

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Solution

The fourth proportional to 846.47, 1,269.27 and 413.25 is: 619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.47 : 1,269.27 = 413.25 : x
  2. Step 2: Convert to fraction form
    846.47/1,269.27 = 413.25/x
  3. Step 3: Cross multiply
    846.47x = 1,269.27 × 413.25
  4. Step 4: Simplify right side
    846.47x = 524,525.83
  5. Step 5: Solve for x
    x = 524,525.83/846.47
  6. Step 6: Final answer
    x = 619.67

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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.