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Finding the Fourth Proportional to 765.37, 1,147.23 and 490.90

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Solution

The fourth proportional to 765.37, 1,147.23 and 490.90 is: 735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.37 : 1,147.23 = 490.90 : x
  2. Step 2: Convert to fraction form
    765.37/1,147.23 = 490.90/x
  3. Step 3: Cross multiply
    765.37x = 1,147.23 × 490.90
  4. Step 4: Simplify right side
    765.37x = 563,175.21
  5. Step 5: Solve for x
    x = 563,175.21/765.37
  6. Step 6: Final answer
    x = 735.82

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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.