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Finding the Fourth Proportional to 765.82, 1,149.15 and 303.48

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Solution

The fourth proportional to 765.82, 1,149.15 and 303.48 is: 455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.82 : 1,149.15 = 303.48 : x
  2. Step 2: Convert to fraction form
    765.82/1,149.15 = 303.48/x
  3. Step 3: Cross multiply
    765.82x = 1,149.15 × 303.48
  4. Step 4: Simplify right side
    765.82x = 348,745.18
  5. Step 5: Solve for x
    x = 348,745.18/765.82
  6. Step 6: Final answer
    x = 455.39

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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.