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Finding the Fourth Proportional to 763.64, 1,145.59 and 301.49

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Solution

The fourth proportional to 763.64, 1,145.59 and 301.49 is: 452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.64 : 1,145.59 = 301.49 : x
  2. Step 2: Convert to fraction form
    763.64/1,145.59 = 301.49/x
  3. Step 3: Cross multiply
    763.64x = 1,145.59 × 301.49
  4. Step 4: Simplify right side
    763.64x = 345,383.93
  5. Step 5: Solve for x
    x = 345,383.93/763.64
  6. Step 6: Final answer
    x = 452.29

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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.