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Finding the Fourth Proportional to 756.57, 1,134.57 and 294.29

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Solution

The fourth proportional to 756.57, 1,134.57 and 294.29 is: 441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.57 : 1,134.57 = 294.29 : x
  2. Step 2: Convert to fraction form
    756.57/1,134.57 = 294.29/x
  3. Step 3: Cross multiply
    756.57x = 1,134.57 × 294.29
  4. Step 4: Simplify right side
    756.57x = 333,891.13
  5. Step 5: Solve for x
    x = 333,891.13/756.57
  6. Step 6: Final answer
    x = 441.32

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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.