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Finding the Fourth Proportional to 845.90, 1,167.33 and 496.60

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Solution

The fourth proportional to 845.90, 1,167.33 and 496.60 is: 685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.90 : 1,167.33 = 496.60 : x
  2. Step 2: Convert to fraction form
    845.90/1,167.33 = 496.60/x
  3. Step 3: Cross multiply
    845.90x = 1,167.33 × 496.60
  4. Step 4: Simplify right side
    845.90x = 579,696.08
  5. Step 5: Solve for x
    x = 579,696.08/845.90
  6. Step 6: Final answer
    x = 685.30

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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.