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Finding the Fourth Proportional to 1,039.21, 1,434.09 and 573.46

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Solution

The fourth proportional to 1,039.21, 1,434.09 and 573.46 is: 791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.21 : 1,434.09 = 573.46 : x
  2. Step 2: Convert to fraction form
    1,039.21/1,434.09 = 573.46/x
  3. Step 3: Cross multiply
    1,039.21x = 1,434.09 × 573.46
  4. Step 4: Simplify right side
    1,039.21x = 822,393.25
  5. Step 5: Solve for x
    x = 822,393.25/1,039.21
  6. Step 6: Final answer
    x = 791.36

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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.