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Finding the Fourth Proportional to 735.79, 1,112.03 and 723.04

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Solution

The fourth proportional to 735.79, 1,112.03 and 723.04 is: 1,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.79 : 1,112.03 = 723.04 : x
  2. Step 2: Convert to fraction form
    735.79/1,112.03 = 723.04/x
  3. Step 3: Cross multiply
    735.79x = 1,112.03 × 723.04
  4. Step 4: Simplify right side
    735.79x = 804,042.17
  5. Step 5: Solve for x
    x = 804,042.17/735.79
  6. Step 6: Final answer
    x = 1,092.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.