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Finding the Fourth Proportional to 1,039.42, 1,434.30 and 573.64

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Solution

The fourth proportional to 1,039.42, 1,434.30 and 573.64 is: 791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.42 : 1,434.30 = 573.64 : x
  2. Step 2: Convert to fraction form
    1,039.42/1,434.30 = 573.64/x
  3. Step 3: Cross multiply
    1,039.42x = 1,434.30 × 573.64
  4. Step 4: Simplify right side
    1,039.42x = 822,771.85
  5. Step 5: Solve for x
    x = 822,771.85/1,039.42
  6. Step 6: Final answer
    x = 791.57

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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.