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Finding the Fourth Proportional to 766.83, 1,058.30 and 487.04

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Solution

The fourth proportional to 766.83, 1,058.30 and 487.04 is: 672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.83 : 1,058.30 = 487.04 : x
  2. Step 2: Convert to fraction form
    766.83/1,058.30 = 487.04/x
  3. Step 3: Cross multiply
    766.83x = 1,058.30 × 487.04
  4. Step 4: Simplify right side
    766.83x = 515,426.71
  5. Step 5: Solve for x
    x = 515,426.71/766.83
  6. Step 6: Final answer
    x = 672.15

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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.