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Finding the Fourth Proportional to 763.74, 1,145.67 and 276.84

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Solution

The fourth proportional to 763.74, 1,145.67 and 276.84 is: 415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.74 : 1,145.67 = 276.84 : x
  2. Step 2: Convert to fraction form
    763.74/1,145.67 = 276.84/x
  3. Step 3: Cross multiply
    763.74x = 1,145.67 × 276.84
  4. Step 4: Simplify right side
    763.74x = 317,167.28
  5. Step 5: Solve for x
    x = 317,167.28/763.74
  6. Step 6: Final answer
    x = 415.28

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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.