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Finding the Fourth Proportional to 765.45, 1,147.66 and 354.36

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Solution

The fourth proportional to 765.45, 1,147.66 and 354.36 is: 531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.45 : 1,147.66 = 354.36 : x
  2. Step 2: Convert to fraction form
    765.45/1,147.66 = 354.36/x
  3. Step 3: Cross multiply
    765.45x = 1,147.66 × 354.36
  4. Step 4: Simplify right side
    765.45x = 406,684.80
  5. Step 5: Solve for x
    x = 406,684.80/765.45
  6. Step 6: Final answer
    x = 531.30

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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.