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Finding the Fourth Proportional to 876.21, 1,313.25 and 413.09

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Solution

The fourth proportional to 876.21, 1,313.25 and 413.09 is: 619.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.21 : 1,313.25 = 413.09 : x
  2. Step 2: Convert to fraction form
    876.21/1,313.25 = 413.09/x
  3. Step 3: Cross multiply
    876.21x = 1,313.25 × 413.09
  4. Step 4: Simplify right side
    876.21x = 542,483.88
  5. Step 5: Solve for x
    x = 542,483.88/876.21
  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.