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Finding the Fourth Proportional to 763.69, 1,146.00 and 301.39

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Solution

The fourth proportional to 763.69, 1,146.00 and 301.39 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.69 : 1,146.00 = 301.39 : x
  2. Step 2: Convert to fraction form
    763.69/1,146.00 = 301.39/x
  3. Step 3: Cross multiply
    763.69x = 1,146.00 × 301.39
  4. Step 4: Simplify right side
    763.69x = 345,386.46
  5. Step 5: Solve for x
    x = 345,386.46/763.69
  6. Step 6: Final answer
    x = 452.26

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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.