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Finding the Fourth Proportional to 1,069.50, 1,604.48 and 411.38

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Solution

The fourth proportional to 1,069.50, 1,604.48 and 411.38 is: 617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.50 : 1,604.48 = 411.38 : x
  2. Step 2: Convert to fraction form
    1,069.50/1,604.48 = 411.38/x
  3. Step 3: Cross multiply
    1,069.50x = 1,604.48 × 411.38
  4. Step 4: Simplify right side
    1,069.50x = 660,046.92
  5. Step 5: Solve for x
    x = 660,046.92/1,069.50
  6. Step 6: Final answer
    x = 617.15

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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.