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Finding the Fourth Proportional to 869.63, 1,304.41 and 523.07

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Solution

The fourth proportional to 869.63, 1,304.41 and 523.07 is: 784.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.63 : 1,304.41 = 523.07 : x
  2. Step 2: Convert to fraction form
    869.63/1,304.41 = 523.07/x
  3. Step 3: Cross multiply
    869.63x = 1,304.41 × 523.07
  4. Step 4: Simplify right side
    869.63x = 682,289.91
  5. Step 5: Solve for x
    x = 682,289.91/869.63
  6. Step 6: Final answer
    x = 784.57

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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.