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Finding the Fourth Proportional to 1,002.29, 1,383.34 and 582.77

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Solution

The fourth proportional to 1,002.29, 1,383.34 and 582.77 is: 804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.29 : 1,383.34 = 582.77 : x
  2. Step 2: Convert to fraction form
    1,002.29/1,383.34 = 582.77/x
  3. Step 3: Cross multiply
    1,002.29x = 1,383.34 × 582.77
  4. Step 4: Simplify right side
    1,002.29x = 806,169.05
  5. Step 5: Solve for x
    x = 806,169.05/1,002.29
  6. Step 6: Final answer
    x = 804.33

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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.