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Finding the Fourth Proportional to 864.36, 1,193.16 and 584.46

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Solution

The fourth proportional to 864.36, 1,193.16 and 584.46 is: 806.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.36 : 1,193.16 = 584.46 : x
  2. Step 2: Convert to fraction form
    864.36/1,193.16 = 584.46/x
  3. Step 3: Cross multiply
    864.36x = 1,193.16 × 584.46
  4. Step 4: Simplify right side
    864.36x = 697,354.29
  5. Step 5: Solve for x
    x = 697,354.29/864.36
  6. Step 6: Final answer
    x = 806.79

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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.