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Finding the Fourth Proportional to 1,027.49, 1,544.57 and 824.28

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Solution

The fourth proportional to 1,027.49, 1,544.57 and 824.28 is: 1,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.49 : 1,544.57 = 824.28 : x
  2. Step 2: Convert to fraction form
    1,027.49/1,544.57 = 824.28/x
  3. Step 3: Cross multiply
    1,027.49x = 1,544.57 × 824.28
  4. Step 4: Simplify right side
    1,027.49x = 1,273,151.34
  5. Step 5: Solve for x
    x = 1,273,151.34/1,027.49
  6. Step 6: Final answer
    x = 1,239.09

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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.