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Finding the Fourth Proportional to 1,216.80, 1,824.98 and 523.58

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Solution

The fourth proportional to 1,216.80, 1,824.98 and 523.58 is: 785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.80 : 1,824.98 = 523.58 : x
  2. Step 2: Convert to fraction form
    1,216.80/1,824.98 = 523.58/x
  3. Step 3: Cross multiply
    1,216.80x = 1,824.98 × 523.58
  4. Step 4: Simplify right side
    1,216.80x = 955,523.03
  5. Step 5: Solve for x
    x = 955,523.03/1,216.80
  6. Step 6: Final answer
    x = 785.28

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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.