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Finding the Fourth Proportional to 1,105.96, 1,658.88 and 412.57

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Solution

The fourth proportional to 1,105.96, 1,658.88 and 412.57 is: 618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.96 : 1,658.88 = 412.57 : x
  2. Step 2: Convert to fraction form
    1,105.96/1,658.88 = 412.57/x
  3. Step 3: Cross multiply
    1,105.96x = 1,658.88 × 412.57
  4. Step 4: Simplify right side
    1,105.96x = 684,408.01
  5. Step 5: Solve for x
    x = 684,408.01/1,105.96
  6. Step 6: Final answer
    x = 618.84

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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.