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Finding the Fourth Proportional to 1,105.78, 1,658.60 and 375.34

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Solution

The fourth proportional to 1,105.78, 1,658.60 and 375.34 is: 562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.78 : 1,658.60 = 375.34 : x
  2. Step 2: Convert to fraction form
    1,105.78/1,658.60 = 375.34/x
  3. Step 3: Cross multiply
    1,105.78x = 1,658.60 × 375.34
  4. Step 4: Simplify right side
    1,105.78x = 622,538.92
  5. Step 5: Solve for x
    x = 622,538.92/1,105.78
  6. Step 6: Final answer
    x = 562.99

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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.