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Finding the Fourth Proportional to 699.81, 1,049.68 and 212.84

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Solution

The fourth proportional to 699.81, 1,049.68 and 212.84 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.81 : 1,049.68 = 212.84 : x
  2. Step 2: Convert to fraction form
    699.81/1,049.68 = 212.84/x
  3. Step 3: Cross multiply
    699.81x = 1,049.68 × 212.84
  4. Step 4: Simplify right side
    699.81x = 223,413.89
  5. Step 5: Solve for x
    x = 223,413.89/699.81
  6. Step 6: Final answer
    x = 319.25

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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.