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Finding the Fourth Proportional to 1,559.27, 2,339.24 and 519.60

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Solution

The fourth proportional to 1,559.27, 2,339.24 and 519.60 is: 779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.27 : 2,339.24 = 519.60 : x
  2. Step 2: Convert to fraction form
    1,559.27/2,339.24 = 519.60/x
  3. Step 3: Cross multiply
    1,559.27x = 2,339.24 × 519.60
  4. Step 4: Simplify right side
    1,559.27x = 1,215,466.51
  5. Step 5: Solve for x
    x = 1,215,466.51/1,559.27
  6. Step 6: Final answer
    x = 779.51

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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.