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Finding the Fourth Proportional to 1,105.58, 1,658.10 and 375.23

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Solution

The fourth proportional to 1,105.58, 1,658.10 and 375.23 is: 562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.58 : 1,658.10 = 375.23 : x
  2. Step 2: Convert to fraction form
    1,105.58/1,658.10 = 375.23/x
  3. Step 3: Cross multiply
    1,105.58x = 1,658.10 × 375.23
  4. Step 4: Simplify right side
    1,105.58x = 622,174.42
  5. Step 5: Solve for x
    x = 622,174.42/1,105.58
  6. Step 6: Final answer
    x = 562.76

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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.