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Finding the Fourth Proportional to 728.15, 1,092.06 and 208.14

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Solution

The fourth proportional to 728.15, 1,092.06 and 208.14 is: 312.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.15 : 1,092.06 = 208.14 : x
  2. Step 2: Convert to fraction form
    728.15/1,092.06 = 208.14/x
  3. Step 3: Cross multiply
    728.15x = 1,092.06 × 208.14
  4. Step 4: Simplify right side
    728.15x = 227,301.37
  5. Step 5: Solve for x
    x = 227,301.37/728.15
  6. Step 6: Final answer
    x = 312.16

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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.