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Finding the Fourth Proportional to 766.97, 1,058.42 and 417.66

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Solution

The fourth proportional to 766.97, 1,058.42 and 417.66 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.97 : 1,058.42 = 417.66 : x
  2. Step 2: Convert to fraction form
    766.97/1,058.42 = 417.66/x
  3. Step 3: Cross multiply
    766.97x = 1,058.42 × 417.66
  4. Step 4: Simplify right side
    766.97x = 442,054.42
  5. Step 5: Solve for x
    x = 442,054.42/766.97
  6. Step 6: Final answer
    x = 576.37

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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.