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Finding the Fourth Proportional to 1,180.50, 1,629.04 and 656.52

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Solution

The fourth proportional to 1,180.50, 1,629.04 and 656.52 is: 905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.50 : 1,629.04 = 656.52 : x
  2. Step 2: Convert to fraction form
    1,180.50/1,629.04 = 656.52/x
  3. Step 3: Cross multiply
    1,180.50x = 1,629.04 × 656.52
  4. Step 4: Simplify right side
    1,180.50x = 1,069,497.34
  5. Step 5: Solve for x
    x = 1,069,497.34/1,180.50
  6. Step 6: Final answer
    x = 905.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.