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Finding the Fourth Proportional to 1,407.38, 2,109.01 and 792.29

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Solution

The fourth proportional to 1,407.38, 2,109.01 and 792.29 is: 1,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.38 : 2,109.01 = 792.29 : x
  2. Step 2: Convert to fraction form
    1,407.38/2,109.01 = 792.29/x
  3. Step 3: Cross multiply
    1,407.38x = 2,109.01 × 792.29
  4. Step 4: Simplify right side
    1,407.38x = 1,670,936.99
  5. Step 5: Solve for x
    x = 1,670,936.99/1,407.38
  6. Step 6: Final answer
    x = 1,187.27

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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.