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Finding the Fourth Proportional to 824.42, 1,137.36 and 544.80

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Solution

The fourth proportional to 824.42, 1,137.36 and 544.80 is: 751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.42 : 1,137.36 = 544.80 : x
  2. Step 2: Convert to fraction form
    824.42/1,137.36 = 544.80/x
  3. Step 3: Cross multiply
    824.42x = 1,137.36 × 544.80
  4. Step 4: Simplify right side
    824.42x = 619,633.73
  5. Step 5: Solve for x
    x = 619,633.73/824.42
  6. Step 6: Final answer
    x = 751.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.