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Finding the Fourth Proportional to 832.96, 1,149.84 and 584.32

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Solution

The fourth proportional to 832.96, 1,149.84 and 584.32 is: 806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.96 : 1,149.84 = 584.32 : x
  2. Step 2: Convert to fraction form
    832.96/1,149.84 = 584.32/x
  3. Step 3: Cross multiply
    832.96x = 1,149.84 × 584.32
  4. Step 4: Simplify right side
    832.96x = 671,874.51
  5. Step 5: Solve for x
    x = 671,874.51/832.96
  6. Step 6: Final answer
    x = 806.61

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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.