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Finding the Fourth Proportional to 809.77, 1,214.65 and 523.03

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Solution

The fourth proportional to 809.77, 1,214.65 and 523.03 is: 784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.77 : 1,214.65 = 523.03 : x
  2. Step 2: Convert to fraction form
    809.77/1,214.65 = 523.03/x
  3. Step 3: Cross multiply
    809.77x = 1,214.65 × 523.03
  4. Step 4: Simplify right side
    809.77x = 635,296.01
  5. Step 5: Solve for x
    x = 635,296.01/809.77
  6. Step 6: Final answer
    x = 784.54

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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.