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Finding the Fourth Proportional to 766.74, 1,058.09 and 417.43

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Solution

The fourth proportional to 766.74, 1,058.09 and 417.43 is: 576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.74 : 1,058.09 = 417.43 : x
  2. Step 2: Convert to fraction form
    766.74/1,058.09 = 417.43/x
  3. Step 3: Cross multiply
    766.74x = 1,058.09 × 417.43
  4. Step 4: Simplify right side
    766.74x = 441,676.91
  5. Step 5: Solve for x
    x = 441,676.91/766.74
  6. Step 6: Final answer
    x = 576.05

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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.