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Finding the Fourth Proportional to 1,039.12, 1,433.79 and 619.51

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Solution

The fourth proportional to 1,039.12, 1,433.79 and 619.51 is: 854.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.12 : 1,433.79 = 619.51 : x
  2. Step 2: Convert to fraction form
    1,039.12/1,433.79 = 619.51/x
  3. Step 3: Cross multiply
    1,039.12x = 1,433.79 × 619.51
  4. Step 4: Simplify right side
    1,039.12x = 888,245.69
  5. Step 5: Solve for x
    x = 888,245.69/1,039.12
  6. Step 6: Final answer
    x = 854.81

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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.