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Finding the Fourth Proportional to 729.59, 1,094.19 and 209.48

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Solution

The fourth proportional to 729.59, 1,094.19 and 209.48 is: 314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.59 : 1,094.19 = 209.48 : x
  2. Step 2: Convert to fraction form
    729.59/1,094.19 = 209.48/x
  3. Step 3: Cross multiply
    729.59x = 1,094.19 × 209.48
  4. Step 4: Simplify right side
    729.59x = 229,210.92
  5. Step 5: Solve for x
    x = 229,210.92/729.59
  6. Step 6: Final answer
    x = 314.16

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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.