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Finding the Fourth Proportional to 1,039.19, 1,434.06 and 573.44

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Solution

The fourth proportional to 1,039.19, 1,434.06 and 573.44 is: 791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.19 : 1,434.06 = 573.44 : x
  2. Step 2: Convert to fraction form
    1,039.19/1,434.06 = 573.44/x
  3. Step 3: Cross multiply
    1,039.19x = 1,434.06 × 573.44
  4. Step 4: Simplify right side
    1,039.19x = 822,340.20
  5. Step 5: Solve for x
    x = 822,340.20/1,039.19
  6. Step 6: Final answer
    x = 791.33

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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.