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Finding the Fourth Proportional to 1,180.68, 1,629.11 and 656.71

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Solution

The fourth proportional to 1,180.68, 1,629.11 and 656.71 is: 906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.68 : 1,629.11 = 656.71 : x
  2. Step 2: Convert to fraction form
    1,180.68/1,629.11 = 656.71/x
  3. Step 3: Cross multiply
    1,180.68x = 1,629.11 × 656.71
  4. Step 4: Simplify right side
    1,180.68x = 1,069,850.40
  5. Step 5: Solve for x
    x = 1,069,850.40/1,180.68
  6. Step 6: Final answer
    x = 906.13

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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.