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Finding the Fourth Proportional to 1,177.69, 1,766.54 and 408.19

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Solution

The fourth proportional to 1,177.69, 1,766.54 and 408.19 is: 612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.69 : 1,766.54 = 408.19 : x
  2. Step 2: Convert to fraction form
    1,177.69/1,766.54 = 408.19/x
  3. Step 3: Cross multiply
    1,177.69x = 1,766.54 × 408.19
  4. Step 4: Simplify right side
    1,177.69x = 721,077.51
  5. Step 5: Solve for x
    x = 721,077.51/1,177.69
  6. Step 6: Final answer
    x = 612.28

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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.