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Finding the Fourth Proportional to 1,179.19, 1,627.02 and 681.82

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Solution

The fourth proportional to 1,179.19, 1,627.02 and 681.82 is: 940.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.19 : 1,627.02 = 681.82 : x
  2. Step 2: Convert to fraction form
    1,179.19/1,627.02 = 681.82/x
  3. Step 3: Cross multiply
    1,179.19x = 1,627.02 × 681.82
  4. Step 4: Simplify right side
    1,179.19x = 1,109,330.71
  5. Step 5: Solve for x
    x = 1,109,330.71/1,179.19
  6. Step 6: Final answer
    x = 940.76

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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.