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Finding the Fourth Proportional to 908.49, 1,363.93 and 538.97

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Solution

The fourth proportional to 908.49, 1,363.93 and 538.97 is: 809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.49 : 1,363.93 = 538.97 : x
  2. Step 2: Convert to fraction form
    908.49/1,363.93 = 538.97/x
  3. Step 3: Cross multiply
    908.49x = 1,363.93 × 538.97
  4. Step 4: Simplify right side
    908.49x = 735,119.41
  5. Step 5: Solve for x
    x = 735,119.41/908.49
  6. Step 6: Final answer
    x = 809.17

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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.