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Finding the Fourth Proportional to 763.57, 1,145.13 and 276.49

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Solution

The fourth proportional to 763.57, 1,145.13 and 276.49 is: 414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.57 : 1,145.13 = 276.49 : x
  2. Step 2: Convert to fraction form
    763.57/1,145.13 = 276.49/x
  3. Step 3: Cross multiply
    763.57x = 1,145.13 × 276.49
  4. Step 4: Simplify right side
    763.57x = 316,616.99
  5. Step 5: Solve for x
    x = 316,616.99/763.57
  6. Step 6: Final answer
    x = 414.65

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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.