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Finding the Fourth Proportional to 1,342.34, 2,013.11 and 794.38

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Solution

The fourth proportional to 1,342.34, 2,013.11 and 794.38 is: 1,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.34 : 2,013.11 = 794.38 : x
  2. Step 2: Convert to fraction form
    1,342.34/2,013.11 = 794.38/x
  3. Step 3: Cross multiply
    1,342.34x = 2,013.11 × 794.38
  4. Step 4: Simplify right side
    1,342.34x = 1,599,160.28
  5. Step 5: Solve for x
    x = 1,599,160.28/1,342.34
  6. Step 6: Final answer
    x = 1,191.32

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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.