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Finding the Fourth Proportional to 1,027.44, 1,542.36 and 824.52

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Solution

The fourth proportional to 1,027.44, 1,542.36 and 824.52 is: 1,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.44 : 1,542.36 = 824.52 : x
  2. Step 2: Convert to fraction form
    1,027.44/1,542.36 = 824.52/x
  3. Step 3: Cross multiply
    1,027.44x = 1,542.36 × 824.52
  4. Step 4: Simplify right side
    1,027.44x = 1,271,706.67
  5. Step 5: Solve for x
    x = 1,271,706.67/1,027.44
  6. Step 6: Final answer
    x = 1,237.74

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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.