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Finding the Fourth Proportional to 1,104.69, 1,657.04 and 411.27

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Solution

The fourth proportional to 1,104.69, 1,657.04 and 411.27 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.69 : 1,657.04 = 411.27 : x
  2. Step 2: Convert to fraction form
    1,104.69/1,657.04 = 411.27/x
  3. Step 3: Cross multiply
    1,104.69x = 1,657.04 × 411.27
  4. Step 4: Simplify right side
    1,104.69x = 681,488.78
  5. Step 5: Solve for x
    x = 681,488.78/1,104.69
  6. Step 6: Final answer
    x = 616.91

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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.