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Finding the Fourth Proportional to 876.42, 1,313.97 and 413.93

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Solution

The fourth proportional to 876.42, 1,313.97 and 413.93 is: 620.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.42 : 1,313.97 = 413.93 : x
  2. Step 2: Convert to fraction form
    876.42/1,313.97 = 413.93/x
  3. Step 3: Cross multiply
    876.42x = 1,313.97 × 413.93
  4. Step 4: Simplify right side
    876.42x = 543,885.03
  5. Step 5: Solve for x
    x = 543,885.03/876.42
  6. Step 6: Final answer
    x = 620.58

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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.