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Finding the Fourth Proportional to 832.94, 1,149 and 584.64

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Solution

The fourth proportional to 832.94, 1,149 and 584.64 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.94 : 1,149 = 584.64 : x
  2. Step 2: Convert to fraction form
    832.94/1,149 = 584.64/x
  3. Step 3: Cross multiply
    832.94x = 1,149 × 584.64
  4. Step 4: Simplify right side
    832.94x = 671,751.36
  5. Step 5: Solve for x
    x = 671,751.36/832.94
  6. Step 6: Final answer
    x = 806.48

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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.