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Finding the Fourth Proportional to 685.01, 1,022.86 and 544.60

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Solution

The fourth proportional to 685.01, 1,022.86 and 544.60 is: 813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.01 : 1,022.86 = 544.60 : x
  2. Step 2: Convert to fraction form
    685.01/1,022.86 = 544.60/x
  3. Step 3: Cross multiply
    685.01x = 1,022.86 × 544.60
  4. Step 4: Simplify right side
    685.01x = 557,046.83
  5. Step 5: Solve for x
    x = 557,046.83/685.01
  6. Step 6: Final answer
    x = 813.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.