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Finding the Fourth Proportional to 765.34, 1,147.92 and 456.22

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Solution

The fourth proportional to 765.34, 1,147.92 and 456.22 is: 684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.34 : 1,147.92 = 456.22 : x
  2. Step 2: Convert to fraction form
    765.34/1,147.92 = 456.22/x
  3. Step 3: Cross multiply
    765.34x = 1,147.92 × 456.22
  4. Step 4: Simplify right side
    765.34x = 523,704.06
  5. Step 5: Solve for x
    x = 523,704.06/765.34
  6. Step 6: Final answer
    x = 684.28

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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.