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Finding the Fourth Proportional to 876.33, 1,313.87 and 413.87

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Solution

The fourth proportional to 876.33, 1,313.87 and 413.87 is: 620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.33 : 1,313.87 = 413.87 : x
  2. Step 2: Convert to fraction form
    876.33/1,313.87 = 413.87/x
  3. Step 3: Cross multiply
    876.33x = 1,313.87 × 413.87
  4. Step 4: Simplify right side
    876.33x = 543,762.74
  5. Step 5: Solve for x
    x = 543,762.74/876.33
  6. Step 6: Final answer
    x = 620.50

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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.