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Finding the Fourth Proportional to 1,104.91, 1,657.97 and 412.04

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Solution

The fourth proportional to 1,104.91, 1,657.97 and 412.04 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.91 : 1,657.97 = 412.04 : x
  2. Step 2: Convert to fraction form
    1,104.91/1,657.97 = 412.04/x
  3. Step 3: Cross multiply
    1,104.91x = 1,657.97 × 412.04
  4. Step 4: Simplify right side
    1,104.91x = 683,153.59
  5. Step 5: Solve for x
    x = 683,153.59/1,104.91
  6. Step 6: Final answer
    x = 618.29

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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.