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Finding the Fourth Proportional to 766.05, 1,057.15 and 416.74

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Solution

The fourth proportional to 766.05, 1,057.15 and 416.74 is: 575.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.05 : 1,057.15 = 416.74 : x
  2. Step 2: Convert to fraction form
    766.05/1,057.15 = 416.74/x
  3. Step 3: Cross multiply
    766.05x = 1,057.15 × 416.74
  4. Step 4: Simplify right side
    766.05x = 440,556.69
  5. Step 5: Solve for x
    x = 440,556.69/766.05
  6. Step 6: Final answer
    x = 575.10

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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.