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Finding the Fourth Proportional to 1,141.22, 1,709.80 and 410.34

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Solution

The fourth proportional to 1,141.22, 1,709.80 and 410.34 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.22 : 1,709.80 = 410.34 : x
  2. Step 2: Convert to fraction form
    1,141.22/1,709.80 = 410.34/x
  3. Step 3: Cross multiply
    1,141.22x = 1,709.80 × 410.34
  4. Step 4: Simplify right side
    1,141.22x = 701,599.33
  5. Step 5: Solve for x
    x = 701,599.33/1,141.22
  6. Step 6: Final answer
    x = 614.78

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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.