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Finding the Fourth Proportional to 1,174.28, 1,620.42 and 676.90

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Solution

The fourth proportional to 1,174.28, 1,620.42 and 676.90 is: 934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.28 : 1,620.42 = 676.90 : x
  2. Step 2: Convert to fraction form
    1,174.28/1,620.42 = 676.90/x
  3. Step 3: Cross multiply
    1,174.28x = 1,620.42 × 676.90
  4. Step 4: Simplify right side
    1,174.28x = 1,096,862.30
  5. Step 5: Solve for x
    x = 1,096,862.30/1,174.28
  6. Step 6: Final answer
    x = 934.07

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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.