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Finding the Fourth Proportional to 763.09, 1,144.68 and 276.14

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Solution

The fourth proportional to 763.09, 1,144.68 and 276.14 is: 414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.09 : 1,144.68 = 276.14 : x
  2. Step 2: Convert to fraction form
    763.09/1,144.68 = 276.14/x
  3. Step 3: Cross multiply
    763.09x = 1,144.68 × 276.14
  4. Step 4: Simplify right side
    763.09x = 316,091.94
  5. Step 5: Solve for x
    x = 316,091.94/763.09
  6. Step 6: Final answer
    x = 414.23

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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.