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Finding the Fourth Proportional to 1,341.73, 2,009.16 and 794.31

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Solution

The fourth proportional to 1,341.73, 2,009.16 and 794.31 is: 1,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.73 : 2,009.16 = 794.31 : x
  2. Step 2: Convert to fraction form
    1,341.73/2,009.16 = 794.31/x
  3. Step 3: Cross multiply
    1,341.73x = 2,009.16 × 794.31
  4. Step 4: Simplify right side
    1,341.73x = 1,595,888.35
  5. Step 5: Solve for x
    x = 1,595,888.35/1,341.73
  6. Step 6: Final answer
    x = 1,189.42

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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.