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Finding the Fourth Proportional to 832.79, 1,149.39 and 584.48

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Solution

The fourth proportional to 832.79, 1,149.39 and 584.48 is: 806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.79 : 1,149.39 = 584.48 : x
  2. Step 2: Convert to fraction form
    832.79/1,149.39 = 584.48/x
  3. Step 3: Cross multiply
    832.79x = 1,149.39 × 584.48
  4. Step 4: Simplify right side
    832.79x = 671,798.34
  5. Step 5: Solve for x
    x = 671,798.34/832.79
  6. Step 6: Final answer
    x = 806.68

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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.