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Finding the Fourth Proportional to 758.96, 1,137.72 and 412.24

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Solution

The fourth proportional to 758.96, 1,137.72 and 412.24 is: 617.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.96 : 1,137.72 = 412.24 : x
  2. Step 2: Convert to fraction form
    758.96/1,137.72 = 412.24/x
  3. Step 3: Cross multiply
    758.96x = 1,137.72 × 412.24
  4. Step 4: Simplify right side
    758.96x = 469,013.69
  5. Step 5: Solve for x
    x = 469,013.69/758.96
  6. Step 6: Final answer
    x = 617.97

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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.