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Finding the Fourth Proportional to 730.46, 1,091.36 and 723.98

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Solution

The fourth proportional to 730.46, 1,091.36 and 723.98 is: 1,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.46 : 1,091.36 = 723.98 : x
  2. Step 2: Convert to fraction form
    730.46/1,091.36 = 723.98/x
  3. Step 3: Cross multiply
    730.46x = 1,091.36 × 723.98
  4. Step 4: Simplify right side
    730.46x = 790,122.81
  5. Step 5: Solve for x
    x = 790,122.81/730.46
  6. Step 6: Final answer
    x = 1,081.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.