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Finding the Fourth Proportional to 1,213.33, 1,672.60 and 858.14

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Solution

The fourth proportional to 1,213.33, 1,672.60 and 858.14 is: 1,182.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.33 : 1,672.60 = 858.14 : x
  2. Step 2: Convert to fraction form
    1,213.33/1,672.60 = 858.14/x
  3. Step 3: Cross multiply
    1,213.33x = 1,672.60 × 858.14
  4. Step 4: Simplify right side
    1,213.33x = 1,435,324.96
  5. Step 5: Solve for x
    x = 1,435,324.96/1,213.33
  6. Step 6: Final answer
    x = 1,182.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.