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Finding the Fourth Proportional to 766.83, 1,058.22 and 417.52

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Solution

The fourth proportional to 766.83, 1,058.22 and 417.52 is: 576.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.83 : 1,058.22 = 417.52 : x
  2. Step 2: Convert to fraction form
    766.83/1,058.22 = 417.52/x
  3. Step 3: Cross multiply
    766.83x = 1,058.22 × 417.52
  4. Step 4: Simplify right side
    766.83x = 441,829.34
  5. Step 5: Solve for x
    x = 441,829.34/766.83
  6. Step 6: Final answer
    x = 576.17

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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.