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Finding the Fourth Proportional to 765.82, 1,145.81 and 464.16

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Solution

The fourth proportional to 765.82, 1,145.81 and 464.16 is: 694.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.82 : 1,145.81 = 464.16 : x
  2. Step 2: Convert to fraction form
    765.82/1,145.81 = 464.16/x
  3. Step 3: Cross multiply
    765.82x = 1,145.81 × 464.16
  4. Step 4: Simplify right side
    765.82x = 531,844.63
  5. Step 5: Solve for x
    x = 531,844.63/765.82
  6. Step 6: Final answer
    x = 694.48

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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.