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Finding the Fourth Proportional to 763.65, 1,145.16 and 276.44

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Solution

The fourth proportional to 763.65, 1,145.16 and 276.44 is: 414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.65 : 1,145.16 = 276.44 : x
  2. Step 2: Convert to fraction form
    763.65/1,145.16 = 276.44/x
  3. Step 3: Cross multiply
    763.65x = 1,145.16 × 276.44
  4. Step 4: Simplify right side
    763.65x = 316,562.30
  5. Step 5: Solve for x
    x = 316,562.30/763.65
  6. Step 6: Final answer
    x = 414.54

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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.