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Finding the Fourth Proportional to 876.12, 1,313.57 and 413.51

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Solution

The fourth proportional to 876.12, 1,313.57 and 413.51 is: 619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.12 : 1,313.57 = 413.51 : x
  2. Step 2: Convert to fraction form
    876.12/1,313.57 = 413.51/x
  3. Step 3: Cross multiply
    876.12x = 1,313.57 × 413.51
  4. Step 4: Simplify right side
    876.12x = 543,173.72
  5. Step 5: Solve for x
    x = 543,173.72/876.12
  6. Step 6: Final answer
    x = 619.98

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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.