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Finding the Fourth Proportional to 1,182.94, 1,772.80 and 452.12

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Solution

The fourth proportional to 1,182.94, 1,772.80 and 452.12 is: 677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.94 : 1,772.80 = 452.12 : x
  2. Step 2: Convert to fraction form
    1,182.94/1,772.80 = 452.12/x
  3. Step 3: Cross multiply
    1,182.94x = 1,772.80 × 452.12
  4. Step 4: Simplify right side
    1,182.94x = 801,510.60
  5. Step 5: Solve for x
    x = 801,510.60/1,182.94
  6. Step 6: Final answer
    x = 677.56

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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.