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Finding the Fourth Proportional to 1,177.81, 1,766.72 and 408.25

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Solution

The fourth proportional to 1,177.81, 1,766.72 and 408.25 is: 612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.81 : 1,766.72 = 408.25 : x
  2. Step 2: Convert to fraction form
    1,177.81/1,766.72 = 408.25/x
  3. Step 3: Cross multiply
    1,177.81x = 1,766.72 × 408.25
  4. Step 4: Simplify right side
    1,177.81x = 721,261.40
  5. Step 5: Solve for x
    x = 721,261.40/1,177.81
  6. Step 6: Final answer
    x = 612.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.