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Finding the Fourth Proportional to 1,174.19, 1,620.50 and 676.85

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Solution

The fourth proportional to 1,174.19, 1,620.50 and 676.85 is: 934.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.19 : 1,620.50 = 676.85 : x
  2. Step 2: Convert to fraction form
    1,174.19/1,620.50 = 676.85/x
  3. Step 3: Cross multiply
    1,174.19x = 1,620.50 × 676.85
  4. Step 4: Simplify right side
    1,174.19x = 1,096,823.94
  5. Step 5: Solve for x
    x = 1,096,823.94/1,174.19
  6. Step 6: Final answer
    x = 934.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.