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Finding the Fourth Proportional to 756.25, 1,133.85 and 293.65

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Solution

The fourth proportional to 756.25, 1,133.85 and 293.65 is: 440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.25 : 1,133.85 = 293.65 : x
  2. Step 2: Convert to fraction form
    756.25/1,133.85 = 293.65/x
  3. Step 3: Cross multiply
    756.25x = 1,133.85 × 293.65
  4. Step 4: Simplify right side
    756.25x = 332,955.05
  5. Step 5: Solve for x
    x = 332,955.05/756.25
  6. Step 6: Final answer
    x = 440.27

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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.