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Finding the Fourth Proportional to 1,069.55, 1,603.22 and 411.27

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Solution

The fourth proportional to 1,069.55, 1,603.22 and 411.27 is: 616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.55 : 1,603.22 = 411.27 : x
  2. Step 2: Convert to fraction form
    1,069.55/1,603.22 = 411.27/x
  3. Step 3: Cross multiply
    1,069.55x = 1,603.22 × 411.27
  4. Step 4: Simplify right side
    1,069.55x = 659,356.29
  5. Step 5: Solve for x
    x = 659,356.29/1,069.55
  6. Step 6: Final answer
    x = 616.48

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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.