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Finding the Fourth Proportional to 1,069.70, 1,604.25 and 339.26

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Solution

The fourth proportional to 1,069.70, 1,604.25 and 339.26 is: 508.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.70 : 1,604.25 = 339.26 : x
  2. Step 2: Convert to fraction form
    1,069.70/1,604.25 = 339.26/x
  3. Step 3: Cross multiply
    1,069.70x = 1,604.25 × 339.26
  4. Step 4: Simplify right side
    1,069.70x = 544,249.83
  5. Step 5: Solve for x
    x = 544,249.83/1,069.70
  6. Step 6: Final answer
    x = 508.79

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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.