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Finding the Fourth Proportional to 523.09, 784.65 and 133.09

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Solution

The fourth proportional to 523.09, 784.65 and 133.09 is: 199.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.09 : 784.65 = 133.09 : x
  2. Step 2: Convert to fraction form
    523.09/784.65 = 133.09/x
  3. Step 3: Cross multiply
    523.09x = 784.65 × 133.09
  4. Step 4: Simplify right side
    523.09x = 104,429.07
  5. Step 5: Solve for x
    x = 104,429.07/523.09
  6. Step 6: Final answer
    x = 199.64

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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.