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Finding the Fourth Proportional to 1,093.23, 1,638.89 and 409.71

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Solution

The fourth proportional to 1,093.23, 1,638.89 and 409.71 is: 614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.23 : 1,638.89 = 409.71 : x
  2. Step 2: Convert to fraction form
    1,093.23/1,638.89 = 409.71/x
  3. Step 3: Cross multiply
    1,093.23x = 1,638.89 × 409.71
  4. Step 4: Simplify right side
    1,093.23x = 671,467.57
  5. Step 5: Solve for x
    x = 671,467.57/1,093.23
  6. Step 6: Final answer
    x = 614.21

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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.