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Finding the Fourth Proportional to 771.84, 1,157.90 and 333.09

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Solution

The fourth proportional to 771.84, 1,157.90 and 333.09 is: 499.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.84 : 1,157.90 = 333.09 : x
  2. Step 2: Convert to fraction form
    771.84/1,157.90 = 333.09/x
  3. Step 3: Cross multiply
    771.84x = 1,157.90 × 333.09
  4. Step 4: Simplify right side
    771.84x = 385,683.25
  5. Step 5: Solve for x
    x = 385,683.25/771.84
  6. Step 6: Final answer
    x = 499.69

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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.