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Finding the Fourth Proportional to 1,299.23, 1,949.14 and 477.49

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Solution

The fourth proportional to 1,299.23, 1,949.14 and 477.49 is: 716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.23 : 1,949.14 = 477.49 : x
  2. Step 2: Convert to fraction form
    1,299.23/1,949.14 = 477.49/x
  3. Step 3: Cross multiply
    1,299.23x = 1,949.14 × 477.49
  4. Step 4: Simplify right side
    1,299.23x = 930,694.86
  5. Step 5: Solve for x
    x = 930,694.86/1,299.23
  6. Step 6: Final answer
    x = 716.34

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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.