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Finding the Fourth Proportional to 1,180.13, 1,628.57 and 656.15

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Solution

The fourth proportional to 1,180.13, 1,628.57 and 656.15 is: 905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.13 : 1,628.57 = 656.15 : x
  2. Step 2: Convert to fraction form
    1,180.13/1,628.57 = 656.15/x
  3. Step 3: Cross multiply
    1,180.13x = 1,628.57 × 656.15
  4. Step 4: Simplify right side
    1,180.13x = 1,068,579.70
  5. Step 5: Solve for x
    x = 1,068,579.70/1,180.13
  6. Step 6: Final answer
    x = 905.48

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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.