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Finding the Fourth Proportional to 1,069.65, 1,604.79 and 339.29

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Solution

The fourth proportional to 1,069.65, 1,604.79 and 339.29 is: 509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.65 : 1,604.79 = 339.29 : x
  2. Step 2: Convert to fraction form
    1,069.65/1,604.79 = 339.29/x
  3. Step 3: Cross multiply
    1,069.65x = 1,604.79 × 339.29
  4. Step 4: Simplify right side
    1,069.65x = 544,481.18
  5. Step 5: Solve for x
    x = 544,481.18/1,069.65
  6. Step 6: Final answer
    x = 509.03

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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.