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Finding the Fourth Proportional to 1,406.36, 2,109.12 and 540.56

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Solution

The fourth proportional to 1,406.36, 2,109.12 and 540.56 is: 810.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.36 : 2,109.12 = 540.56 : x
  2. Step 2: Convert to fraction form
    1,406.36/2,109.12 = 540.56/x
  3. Step 3: Cross multiply
    1,406.36x = 2,109.12 × 540.56
  4. Step 4: Simplify right side
    1,406.36x = 1,140,105.91
  5. Step 5: Solve for x
    x = 1,140,105.91/1,406.36
  6. Step 6: Final answer
    x = 810.68

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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.