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Finding the Fourth Proportional to 730.98, 1,096.64 and 210.96

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Solution

The fourth proportional to 730.98, 1,096.64 and 210.96 is: 316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.98 : 1,096.64 = 210.96 : x
  2. Step 2: Convert to fraction form
    730.98/1,096.64 = 210.96/x
  3. Step 3: Cross multiply
    730.98x = 1,096.64 × 210.96
  4. Step 4: Simplify right side
    730.98x = 231,347.17
  5. Step 5: Solve for x
    x = 231,347.17/730.98
  6. Step 6: Final answer
    x = 316.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.