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Finding the Fourth Proportional to 824.56, 1,136.28 and 544.48

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Solution

The fourth proportional to 824.56, 1,136.28 and 544.48 is: 750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.56 : 1,136.28 = 544.48 : x
  2. Step 2: Convert to fraction form
    824.56/1,136.28 = 544.48/x
  3. Step 3: Cross multiply
    824.56x = 1,136.28 × 544.48
  4. Step 4: Simplify right side
    824.56x = 618,681.73
  5. Step 5: Solve for x
    x = 618,681.73/824.56
  6. Step 6: Final answer
    x = 750.32

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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.