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Finding the Fourth Proportional to 1,559.34, 2,338.51 and 519.07

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Solution

The fourth proportional to 1,559.34, 2,338.51 and 519.07 is: 778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.34 : 2,338.51 = 519.07 : x
  2. Step 2: Convert to fraction form
    1,559.34/2,338.51 = 519.07/x
  3. Step 3: Cross multiply
    1,559.34x = 2,338.51 × 519.07
  4. Step 4: Simplify right side
    1,559.34x = 1,213,843.94
  5. Step 5: Solve for x
    x = 1,213,843.94/1,559.34
  6. Step 6: Final answer
    x = 778.43

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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.