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Finding the Fourth Proportional to 765.66, 1,147.05 and 452.37

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Solution

The fourth proportional to 765.66, 1,147.05 and 452.37 is: 677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.66 : 1,147.05 = 452.37 : x
  2. Step 2: Convert to fraction form
    765.66/1,147.05 = 452.37/x
  3. Step 3: Cross multiply
    765.66x = 1,147.05 × 452.37
  4. Step 4: Simplify right side
    765.66x = 518,894.48
  5. Step 5: Solve for x
    x = 518,894.48/765.66
  6. Step 6: Final answer
    x = 677.71

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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.