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Finding the Fourth Proportional to 722.45, 1,083.66 and 209.45

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Solution

The fourth proportional to 722.45, 1,083.66 and 209.45 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.45 : 1,083.66 = 209.45 : x
  2. Step 2: Convert to fraction form
    722.45/1,083.66 = 209.45/x
  3. Step 3: Cross multiply
    722.45x = 1,083.66 × 209.45
  4. Step 4: Simplify right side
    722.45x = 226,967.17
  5. Step 5: Solve for x
    x = 226,967.17/722.45
  6. Step 6: Final answer
    x = 314.17

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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.