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Finding the Fourth Proportional to 1,180.83, 1,771.53 and 487.50

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Solution

The fourth proportional to 1,180.83, 1,771.53 and 487.50 is: 731.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.83 : 1,771.53 = 487.50 : x
  2. Step 2: Convert to fraction form
    1,180.83/1,771.53 = 487.50/x
  3. Step 3: Cross multiply
    1,180.83x = 1,771.53 × 487.50
  4. Step 4: Simplify right side
    1,180.83x = 863,620.88
  5. Step 5: Solve for x
    x = 863,620.88/1,180.83
  6. Step 6: Final answer
    x = 731.37

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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.