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Finding the Fourth Proportional to 1,201.68, 1,658.22 and 677.70

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Solution

The fourth proportional to 1,201.68, 1,658.22 and 677.70 is: 935.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.68 : 1,658.22 = 677.70 : x
  2. Step 2: Convert to fraction form
    1,201.68/1,658.22 = 677.70/x
  3. Step 3: Cross multiply
    1,201.68x = 1,658.22 × 677.70
  4. Step 4: Simplify right side
    1,201.68x = 1,123,775.69
  5. Step 5: Solve for x
    x = 1,123,775.69/1,201.68
  6. Step 6: Final answer
    x = 935.17

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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.