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Finding the Fourth Proportional to 723.19, 1,084.97 and 210.19

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Solution

The fourth proportional to 723.19, 1,084.97 and 210.19 is: 315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.19 : 1,084.97 = 210.19 : x
  2. Step 2: Convert to fraction form
    723.19/1,084.97 = 210.19/x
  3. Step 3: Cross multiply
    723.19x = 1,084.97 × 210.19
  4. Step 4: Simplify right side
    723.19x = 228,046.08
  5. Step 5: Solve for x
    x = 228,046.08/723.19
  6. Step 6: Final answer
    x = 315.33

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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.