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Finding the Fourth Proportional to 766.77, 1,058.15 and 417.46

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Solution

The fourth proportional to 766.77, 1,058.15 and 417.46 is: 576.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.77 : 1,058.15 = 417.46 : x
  2. Step 2: Convert to fraction form
    766.77/1,058.15 = 417.46/x
  3. Step 3: Cross multiply
    766.77x = 1,058.15 × 417.46
  4. Step 4: Simplify right side
    766.77x = 441,735.30
  5. Step 5: Solve for x
    x = 441,735.30/766.77
  6. Step 6: Final answer
    x = 576.10

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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.