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Finding the Fourth Proportional to 845.61, 1,165.99 and 727.45

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Solution

The fourth proportional to 845.61, 1,165.99 and 727.45 is: 1,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.61 : 1,165.99 = 727.45 : x
  2. Step 2: Convert to fraction form
    845.61/1,165.99 = 727.45/x
  3. Step 3: Cross multiply
    845.61x = 1,165.99 × 727.45
  4. Step 4: Simplify right side
    845.61x = 848,199.43
  5. Step 5: Solve for x
    x = 848,199.43/845.61
  6. Step 6: Final answer
    x = 1,003.06

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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.