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Finding the Fourth Proportional to 911.82, 1,366.99 and 500.39

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Solution

The fourth proportional to 911.82, 1,366.99 and 500.39 is: 750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.82 : 1,366.99 = 500.39 : x
  2. Step 2: Convert to fraction form
    911.82/1,366.99 = 500.39/x
  3. Step 3: Cross multiply
    911.82x = 1,366.99 × 500.39
  4. Step 4: Simplify right side
    911.82x = 684,018.79
  5. Step 5: Solve for x
    x = 684,018.79/911.82
  6. Step 6: Final answer
    x = 750.17

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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.