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Finding the Fourth Proportional to 845.83, 1,167.10 and 496.59

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Solution

The fourth proportional to 845.83, 1,167.10 and 496.59 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.83 : 1,167.10 = 496.59 : x
  2. Step 2: Convert to fraction form
    845.83/1,167.10 = 496.59/x
  3. Step 3: Cross multiply
    845.83x = 1,167.10 × 496.59
  4. Step 4: Simplify right side
    845.83x = 579,570.19
  5. Step 5: Solve for x
    x = 579,570.19/845.83
  6. Step 6: Final answer
    x = 685.21

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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.