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Finding the Fourth Proportional to 763.54, 1,145.32 and 276.56

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Solution

The fourth proportional to 763.54, 1,145.32 and 276.56 is: 414.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.54 : 1,145.32 = 276.56 : x
  2. Step 2: Convert to fraction form
    763.54/1,145.32 = 276.56/x
  3. Step 3: Cross multiply
    763.54x = 1,145.32 × 276.56
  4. Step 4: Simplify right side
    763.54x = 316,749.70
  5. Step 5: Solve for x
    x = 316,749.70/763.54
  6. Step 6: Final answer
    x = 414.84

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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.