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Finding the Fourth Proportional to 1,182.92, 1,773.70 and 452.04

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Solution

The fourth proportional to 1,182.92, 1,773.70 and 452.04 is: 677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.92 : 1,773.70 = 452.04 : x
  2. Step 2: Convert to fraction form
    1,182.92/1,773.70 = 452.04/x
  3. Step 3: Cross multiply
    1,182.92x = 1,773.70 × 452.04
  4. Step 4: Simplify right side
    1,182.92x = 801,783.35
  5. Step 5: Solve for x
    x = 801,783.35/1,182.92
  6. Step 6: Final answer
    x = 677.80

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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.