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Finding the Fourth Proportional to 875.84, 1,313.84 and 413.49

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Solution

The fourth proportional to 875.84, 1,313.84 and 413.49 is: 620.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.84 : 1,313.84 = 413.49 : x
  2. Step 2: Convert to fraction form
    875.84/1,313.84 = 413.49/x
  3. Step 3: Cross multiply
    875.84x = 1,313.84 × 413.49
  4. Step 4: Simplify right side
    875.84x = 543,257.63
  5. Step 5: Solve for x
    x = 543,257.63/875.84
  6. Step 6: Final answer
    x = 620.27

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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.