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Finding the Fourth Proportional to 845.47, 1,167.27 and 580.35

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Solution

The fourth proportional to 845.47, 1,167.27 and 580.35 is: 801.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.47 : 1,167.27 = 580.35 : x
  2. Step 2: Convert to fraction form
    845.47/1,167.27 = 580.35/x
  3. Step 3: Cross multiply
    845.47x = 1,167.27 × 580.35
  4. Step 4: Simplify right side
    845.47x = 677,416.41
  5. Step 5: Solve for x
    x = 677,416.41/845.47
  6. Step 6: Final answer
    x = 801.23

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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.