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Finding the Fourth Proportional to 708.92, 1,062.92 and 338.78

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Solution

The fourth proportional to 708.92, 1,062.92 and 338.78 is: 507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.92 : 1,062.92 = 338.78 : x
  2. Step 2: Convert to fraction form
    708.92/1,062.92 = 338.78/x
  3. Step 3: Cross multiply
    708.92x = 1,062.92 × 338.78
  4. Step 4: Simplify right side
    708.92x = 360,097.00
  5. Step 5: Solve for x
    x = 360,097.00/708.92
  6. Step 6: Final answer
    x = 507.95

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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.