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Finding the Fourth Proportional to 845.29, 1,267.94 and 584.47

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Solution

The fourth proportional to 845.29, 1,267.94 and 584.47 is: 876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.29 : 1,267.94 = 584.47 : x
  2. Step 2: Convert to fraction form
    845.29/1,267.94 = 584.47/x
  3. Step 3: Cross multiply
    845.29x = 1,267.94 × 584.47
  4. Step 4: Simplify right side
    845.29x = 741,072.89
  5. Step 5: Solve for x
    x = 741,072.89/845.29
  6. Step 6: Final answer
    x = 876.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.