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Finding the Fourth Proportional to 1,174.17, 1,760.85 and 394.05

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Solution

The fourth proportional to 1,174.17, 1,760.85 and 394.05 is: 590.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.17 : 1,760.85 = 394.05 : x
  2. Step 2: Convert to fraction form
    1,174.17/1,760.85 = 394.05/x
  3. Step 3: Cross multiply
    1,174.17x = 1,760.85 × 394.05
  4. Step 4: Simplify right side
    1,174.17x = 693,862.94
  5. Step 5: Solve for x
    x = 693,862.94/1,174.17
  6. Step 6: Final answer
    x = 590.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.