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Finding the Fourth Proportional to 678.98, 936.84 and 513.14

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Solution

The fourth proportional to 678.98, 936.84 and 513.14 is: 708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.98 : 936.84 = 513.14 : x
  2. Step 2: Convert to fraction form
    678.98/936.84 = 513.14/x
  3. Step 3: Cross multiply
    678.98x = 936.84 × 513.14
  4. Step 4: Simplify right side
    678.98x = 480,730.08
  5. Step 5: Solve for x
    x = 480,730.08/678.98
  6. Step 6: Final answer
    x = 708.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.