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Finding the Fourth Proportional to 765.99, 1,057.07 and 416.68

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Solution

The fourth proportional to 765.99, 1,057.07 and 416.68 is: 575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.99 : 1,057.07 = 416.68 : x
  2. Step 2: Convert to fraction form
    765.99/1,057.07 = 416.68/x
  3. Step 3: Cross multiply
    765.99x = 1,057.07 × 416.68
  4. Step 4: Simplify right side
    765.99x = 440,458.33
  5. Step 5: Solve for x
    x = 440,458.33/765.99
  6. Step 6: Final answer
    x = 575.02

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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.