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Finding the Fourth Proportional to 1,201.59, 1,658.10 and 677.75

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Solution

The fourth proportional to 1,201.59, 1,658.10 and 677.75 is: 935.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.59 : 1,658.10 = 677.75 : x
  2. Step 2: Convert to fraction form
    1,201.59/1,658.10 = 677.75/x
  3. Step 3: Cross multiply
    1,201.59x = 1,658.10 × 677.75
  4. Step 4: Simplify right side
    1,201.59x = 1,123,773.89
  5. Step 5: Solve for x
    x = 1,123,773.89/1,201.59
  6. Step 6: Final answer
    x = 935.24

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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.