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Finding the Fourth Proportional to 763.34, 1,145.09 and 276.33

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Solution

The fourth proportional to 763.34, 1,145.09 and 276.33 is: 414.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.34 : 1,145.09 = 276.33 : x
  2. Step 2: Convert to fraction form
    763.34/1,145.09 = 276.33/x
  3. Step 3: Cross multiply
    763.34x = 1,145.09 × 276.33
  4. Step 4: Simplify right side
    763.34x = 316,419.71
  5. Step 5: Solve for x
    x = 316,419.71/763.34
  6. Step 6: Final answer
    x = 414.52

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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.