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Finding the Fourth Proportional to 1,105.96, 1,658.94 and 376.12

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Solution

The fourth proportional to 1,105.96, 1,658.94 and 376.12 is: 564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.96 : 1,658.94 = 376.12 : x
  2. Step 2: Convert to fraction form
    1,105.96/1,658.94 = 376.12/x
  3. Step 3: Cross multiply
    1,105.96x = 1,658.94 × 376.12
  4. Step 4: Simplify right side
    1,105.96x = 623,960.51
  5. Step 5: Solve for x
    x = 623,960.51/1,105.96
  6. Step 6: Final answer
    x = 564.18

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Why These Related Problems?

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