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Finding the Fourth Proportional to 1,177.68, 1,766.04 and 408.24

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Solution

The fourth proportional to 1,177.68, 1,766.04 and 408.24 is: 612.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.68 : 1,766.04 = 408.24 : x
  2. Step 2: Convert to fraction form
    1,177.68/1,766.04 = 408.24/x
  3. Step 3: Cross multiply
    1,177.68x = 1,766.04 × 408.24
  4. Step 4: Simplify right side
    1,177.68x = 720,968.17
  5. Step 5: Solve for x
    x = 720,968.17/1,177.68
  6. Step 6: Final answer
    x = 612.19

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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.