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Finding the Fourth Proportional to 678.62, 936.21 and 501.99

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Solution

The fourth proportional to 678.62, 936.21 and 501.99 is: 692.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.62 : 936.21 = 501.99 : x
  2. Step 2: Convert to fraction form
    678.62/936.21 = 501.99/x
  3. Step 3: Cross multiply
    678.62x = 936.21 × 501.99
  4. Step 4: Simplify right side
    678.62x = 469,963.38
  5. Step 5: Solve for x
    x = 469,963.38/678.62
  6. Step 6: Final answer
    x = 692.53

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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.