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Finding the Fourth Proportional to 823.72, 1,237.20 and 499.72

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Solution

The fourth proportional to 823.72, 1,237.20 and 499.72 is: 750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.72 : 1,237.20 = 499.72 : x
  2. Step 2: Convert to fraction form
    823.72/1,237.20 = 499.72/x
  3. Step 3: Cross multiply
    823.72x = 1,237.20 × 499.72
  4. Step 4: Simplify right side
    823.72x = 618,253.58
  5. Step 5: Solve for x
    x = 618,253.58/823.72
  6. Step 6: Final answer
    x = 750.56

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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.