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Finding the Fourth Proportional to 684.39, 1,027.50 and 582.33

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Solution

The fourth proportional to 684.39, 1,027.50 and 582.33 is: 874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.39 : 1,027.50 = 582.33 : x
  2. Step 2: Convert to fraction form
    684.39/1,027.50 = 582.33/x
  3. Step 3: Cross multiply
    684.39x = 1,027.50 × 582.33
  4. Step 4: Simplify right side
    684.39x = 598,342.62
  5. Step 5: Solve for x
    x = 598,342.62/684.39
  6. Step 6: Final answer
    x = 874.27

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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.