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Finding the Fourth Proportional to 708.38, 1,062.77 and 275.66

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Solution

The fourth proportional to 708.38, 1,062.77 and 275.66 is: 413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.38 : 1,062.77 = 275.66 : x
  2. Step 2: Convert to fraction form
    708.38/1,062.77 = 275.66/x
  3. Step 3: Cross multiply
    708.38x = 1,062.77 × 275.66
  4. Step 4: Simplify right side
    708.38x = 292,956.49
  5. Step 5: Solve for x
    x = 292,956.49/708.38
  6. Step 6: Final answer
    x = 413.56

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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.