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Finding the Fourth Proportional to 824.48, 1,137.01 and 525.41

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Solution

The fourth proportional to 824.48, 1,137.01 and 525.41 is: 724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.48 : 1,137.01 = 525.41 : x
  2. Step 2: Convert to fraction form
    824.48/1,137.01 = 525.41/x
  3. Step 3: Cross multiply
    824.48x = 1,137.01 × 525.41
  4. Step 4: Simplify right side
    824.48x = 597,400.59
  5. Step 5: Solve for x
    x = 597,400.59/824.48
  6. Step 6: Final answer
    x = 724.58

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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.