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Finding the Fourth Proportional to 764, 1,146.27 and 379.52

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Solution

The fourth proportional to 764, 1,146.27 and 379.52 is: 569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    764 : 1,146.27 = 379.52 : x
  2. Step 2: Convert to fraction form
    764/1,146.27 = 379.52/x
  3. Step 3: Cross multiply
    764x = 1,146.27 × 379.52
  4. Step 4: Simplify right side
    764x = 435,032.39
  5. Step 5: Solve for x
    x = 435,032.39/764
  6. Step 6: Final answer
    x = 569.41

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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.