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Finding the Fourth Proportional to 766.61, 1,058.09 and 467.92

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Solution

The fourth proportional to 766.61, 1,058.09 and 467.92 is: 645.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.61 : 1,058.09 = 467.92 : x
  2. Step 2: Convert to fraction form
    766.61/1,058.09 = 467.92/x
  3. Step 3: Cross multiply
    766.61x = 1,058.09 × 467.92
  4. Step 4: Simplify right side
    766.61x = 495,096.49
  5. Step 5: Solve for x
    x = 495,096.49/766.61
  6. Step 6: Final answer
    x = 645.83

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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.