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Finding the Fourth Proportional to 845.44, 1,166.81 and 648.61

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Solution

The fourth proportional to 845.44, 1,166.81 and 648.61 is: 895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.44 : 1,166.81 = 648.61 : x
  2. Step 2: Convert to fraction form
    845.44/1,166.81 = 648.61/x
  3. Step 3: Cross multiply
    845.44x = 1,166.81 × 648.61
  4. Step 4: Simplify right side
    845.44x = 756,798.47
  5. Step 5: Solve for x
    x = 756,798.47/845.44
  6. Step 6: Final answer
    x = 895.16

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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.