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Finding the Fourth Proportional to 708.36, 1,062.12 and 342.84

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Solution

The fourth proportional to 708.36, 1,062.12 and 342.84 is: 514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.36 : 1,062.12 = 342.84 : x
  2. Step 2: Convert to fraction form
    708.36/1,062.12 = 342.84/x
  3. Step 3: Cross multiply
    708.36x = 1,062.12 × 342.84
  4. Step 4: Simplify right side
    708.36x = 364,137.22
  5. Step 5: Solve for x
    x = 364,137.22/708.36
  6. Step 6: Final answer
    x = 514.06

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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.