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Finding the Fourth Proportional to 765.97, 1,057.02 and 416.65

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Solution

The fourth proportional to 765.97, 1,057.02 and 416.65 is: 574.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.97 : 1,057.02 = 416.65 : x
  2. Step 2: Convert to fraction form
    765.97/1,057.02 = 416.65/x
  3. Step 3: Cross multiply
    765.97x = 1,057.02 × 416.65
  4. Step 4: Simplify right side
    765.97x = 440,407.38
  5. Step 5: Solve for x
    x = 440,407.38/765.97
  6. Step 6: Final answer
    x = 574.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.