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Finding the Fourth Proportional to 869.54, 1,304.64 and 523.12

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Solution

The fourth proportional to 869.54, 1,304.64 and 523.12 is: 784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.54 : 1,304.64 = 523.12 : x
  2. Step 2: Convert to fraction form
    869.54/1,304.64 = 523.12/x
  3. Step 3: Cross multiply
    869.54x = 1,304.64 × 523.12
  4. Step 4: Simplify right side
    869.54x = 682,486.50
  5. Step 5: Solve for x
    x = 682,486.50/869.54
  6. Step 6: Final answer
    x = 784.88

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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.