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Finding the Fourth Proportional to 1,180.54, 1,772.25 and 785.56

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Solution

The fourth proportional to 1,180.54, 1,772.25 and 785.56 is: 1,179.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.54 : 1,772.25 = 785.56 : x
  2. Step 2: Convert to fraction form
    1,180.54/1,772.25 = 785.56/x
  3. Step 3: Cross multiply
    1,180.54x = 1,772.25 × 785.56
  4. Step 4: Simplify right side
    1,180.54x = 1,392,208.71
  5. Step 5: Solve for x
    x = 1,392,208.71/1,180.54
  6. Step 6: Final answer
    x = 1,179.30

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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.