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Finding the Fourth Proportional to 945.40, 1,305.30 and 723.96

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Solution

The fourth proportional to 945.40, 1,305.30 and 723.96 is: 999.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,305.30 = 723.96 : x
  2. Step 2: Convert to fraction form
    945.40/1,305.30 = 723.96/x
  3. Step 3: Cross multiply
    945.40x = 1,305.30 × 723.96
  4. Step 4: Simplify right side
    945.40x = 944,984.99
  5. Step 5: Solve for x
    x = 944,984.99/945.40
  6. Step 6: Final answer
    x = 999.56

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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.