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Finding the Fourth Proportional to 945.22, 1,305.66 and 726.88

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Solution

The fourth proportional to 945.22, 1,305.66 and 726.88 is: 1,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.22 : 1,305.66 = 726.88 : x
  2. Step 2: Convert to fraction form
    945.22/1,305.66 = 726.88/x
  3. Step 3: Cross multiply
    945.22x = 1,305.66 × 726.88
  4. Step 4: Simplify right side
    945.22x = 949,058.14
  5. Step 5: Solve for x
    x = 949,058.14/945.22
  6. Step 6: Final answer
    x = 1,004.06

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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.