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Finding the Fourth Proportional to 864.36, 1,192.74 and 584.19

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Solution

The fourth proportional to 864.36, 1,192.74 and 584.19 is: 806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.36 : 1,192.74 = 584.19 : x
  2. Step 2: Convert to fraction form
    864.36/1,192.74 = 584.19/x
  3. Step 3: Cross multiply
    864.36x = 1,192.74 × 584.19
  4. Step 4: Simplify right side
    864.36x = 696,786.78
  5. Step 5: Solve for x
    x = 696,786.78/864.36
  6. Step 6: Final answer
    x = 806.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.