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Finding the Fourth Proportional to 766.21, 1,057.36 and 416.89

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Solution

The fourth proportional to 766.21, 1,057.36 and 416.89 is: 575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.21 : 1,057.36 = 416.89 : x
  2. Step 2: Convert to fraction form
    766.21/1,057.36 = 416.89/x
  3. Step 3: Cross multiply
    766.21x = 1,057.36 × 416.89
  4. Step 4: Simplify right side
    766.21x = 440,802.81
  5. Step 5: Solve for x
    x = 440,802.81/766.21
  6. Step 6: Final answer
    x = 575.31

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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.