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Finding the Fourth Proportional to 708.44, 1,062.90 and 275.84

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Solution

The fourth proportional to 708.44, 1,062.90 and 275.84 is: 413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.44 : 1,062.90 = 275.84 : x
  2. Step 2: Convert to fraction form
    708.44/1,062.90 = 275.84/x
  3. Step 3: Cross multiply
    708.44x = 1,062.90 × 275.84
  4. Step 4: Simplify right side
    708.44x = 293,190.34
  5. Step 5: Solve for x
    x = 293,190.34/708.44
  6. Step 6: Final answer
    x = 413.85

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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.