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Finding the Fourth Proportional to 1,069.94, 1,604.78 and 339.56

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Solution

The fourth proportional to 1,069.94, 1,604.78 and 339.56 is: 509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.94 : 1,604.78 = 339.56 : x
  2. Step 2: Convert to fraction form
    1,069.94/1,604.78 = 339.56/x
  3. Step 3: Cross multiply
    1,069.94x = 1,604.78 × 339.56
  4. Step 4: Simplify right side
    1,069.94x = 544,919.10
  5. Step 5: Solve for x
    x = 544,919.10/1,069.94
  6. Step 6: Final answer
    x = 509.30

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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.