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Finding the Fourth Proportional to 763.83, 1,145.79 and 301.23

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Solution

The fourth proportional to 763.83, 1,145.79 and 301.23 is: 451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.83 : 1,145.79 = 301.23 : x
  2. Step 2: Convert to fraction form
    763.83/1,145.79 = 301.23/x
  3. Step 3: Cross multiply
    763.83x = 1,145.79 × 301.23
  4. Step 4: Simplify right side
    763.83x = 345,146.32
  5. Step 5: Solve for x
    x = 345,146.32/763.83
  6. Step 6: Final answer
    x = 451.86

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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.