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Finding the Fourth Proportional to 864.03, 1,189.77 and 584.16

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Solution

The fourth proportional to 864.03, 1,189.77 and 584.16 is: 804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.03 : 1,189.77 = 584.16 : x
  2. Step 2: Convert to fraction form
    864.03/1,189.77 = 584.16/x
  3. Step 3: Cross multiply
    864.03x = 1,189.77 × 584.16
  4. Step 4: Simplify right side
    864.03x = 695,016.04
  5. Step 5: Solve for x
    x = 695,016.04/864.03
  6. Step 6: Final answer
    x = 804.39

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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.