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Finding the Fourth Proportional to 1,216.64, 1,825.07 and 523.33

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Solution

The fourth proportional to 1,216.64, 1,825.07 and 523.33 is: 785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.64 : 1,825.07 = 523.33 : x
  2. Step 2: Convert to fraction form
    1,216.64/1,825.07 = 523.33/x
  3. Step 3: Cross multiply
    1,216.64x = 1,825.07 × 523.33
  4. Step 4: Simplify right side
    1,216.64x = 955,106.70
  5. Step 5: Solve for x
    x = 955,106.70/1,216.64
  6. Step 6: Final answer
    x = 785.03

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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.