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Finding the Fourth Proportional to 1,456.26, 2,009.61 and 793.14

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Solution

The fourth proportional to 1,456.26, 2,009.61 and 793.14 is: 1,094.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.26 : 2,009.61 = 793.14 : x
  2. Step 2: Convert to fraction form
    1,456.26/2,009.61 = 793.14/x
  3. Step 3: Cross multiply
    1,456.26x = 2,009.61 × 793.14
  4. Step 4: Simplify right side
    1,456.26x = 1,593,902.08
  5. Step 5: Solve for x
    x = 1,593,902.08/1,456.26
  6. Step 6: Final answer
    x = 1,094.52

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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.