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Finding the Fourth Proportional to 1,182.40, 1,772.46 and 441.47

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Solution

The fourth proportional to 1,182.40, 1,772.46 and 441.47 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.40 : 1,772.46 = 441.47 : x
  2. Step 2: Convert to fraction form
    1,182.40/1,772.46 = 441.47/x
  3. Step 3: Cross multiply
    1,182.40x = 1,772.46 × 441.47
  4. Step 4: Simplify right side
    1,182.40x = 782,492.35
  5. Step 5: Solve for x
    x = 782,492.35/1,182.40
  6. Step 6: Final answer
    x = 661.78

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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.