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Finding the Fourth Proportional to 1,410.42, 2,112.93 and 792.26

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Solution

The fourth proportional to 1,410.42, 2,112.93 and 792.26 is: 1,186.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.42 : 2,112.93 = 792.26 : x
  2. Step 2: Convert to fraction form
    1,410.42/2,112.93 = 792.26/x
  3. Step 3: Cross multiply
    1,410.42x = 2,112.93 × 792.26
  4. Step 4: Simplify right side
    1,410.42x = 1,673,979.36
  5. Step 5: Solve for x
    x = 1,673,979.36/1,410.42
  6. Step 6: Final answer
    x = 1,186.87

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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.