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Finding the Fourth Proportional to 832.91, 1,149.43 and 459.89

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Solution

The fourth proportional to 832.91, 1,149.43 and 459.89 is: 634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.91 : 1,149.43 = 459.89 : x
  2. Step 2: Convert to fraction form
    832.91/1,149.43 = 459.89/x
  3. Step 3: Cross multiply
    832.91x = 1,149.43 × 459.89
  4. Step 4: Simplify right side
    832.91x = 528,613.09
  5. Step 5: Solve for x
    x = 528,613.09/832.91
  6. Step 6: Final answer
    x = 634.66

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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.