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Finding the Fourth Proportional to 756.57, 1,135.07 and 269.63

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Solution

The fourth proportional to 756.57, 1,135.07 and 269.63 is: 404.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.57 : 1,135.07 = 269.63 : x
  2. Step 2: Convert to fraction form
    756.57/1,135.07 = 269.63/x
  3. Step 3: Cross multiply
    756.57x = 1,135.07 × 269.63
  4. Step 4: Simplify right side
    756.57x = 306,041.90
  5. Step 5: Solve for x
    x = 306,041.90/756.57
  6. Step 6: Final answer
    x = 404.51

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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.