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Finding the Fourth Proportional to 824.03, 1,237.98 and 532.08

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Solution

The fourth proportional to 824.03, 1,237.98 and 532.08 is: 799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.03 : 1,237.98 = 532.08 : x
  2. Step 2: Convert to fraction form
    824.03/1,237.98 = 532.08/x
  3. Step 3: Cross multiply
    824.03x = 1,237.98 × 532.08
  4. Step 4: Simplify right side
    824.03x = 658,704.40
  5. Step 5: Solve for x
    x = 658,704.40/824.03
  6. Step 6: Final answer
    x = 799.37

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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.