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Finding the Fourth Proportional to 824.41, 1,137.39 and 529.84

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Solution

The fourth proportional to 824.41, 1,137.39 and 529.84 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.41 : 1,137.39 = 529.84 : x
  2. Step 2: Convert to fraction form
    824.41/1,137.39 = 529.84/x
  3. Step 3: Cross multiply
    824.41x = 1,137.39 × 529.84
  4. Step 4: Simplify right side
    824.41x = 602,634.72
  5. Step 5: Solve for x
    x = 602,634.72/824.41
  6. Step 6: Final answer
    x = 730.99

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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.