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Finding the Fourth Proportional to 945.35, 1,305.22 and 723.91

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Solution

The fourth proportional to 945.35, 1,305.22 and 723.91 is: 999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.35 : 1,305.22 = 723.91 : x
  2. Step 2: Convert to fraction form
    945.35/1,305.22 = 723.91/x
  3. Step 3: Cross multiply
    945.35x = 1,305.22 × 723.91
  4. Step 4: Simplify right side
    945.35x = 944,855.28
  5. Step 5: Solve for x
    x = 944,855.28/945.35
  6. Step 6: Final answer
    x = 999.48

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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.