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Finding the Fourth Proportional to 823.20, 1,234.72 and 498.48

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Solution

The fourth proportional to 823.20, 1,234.72 and 498.48 is: 747.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,234.72 = 498.48 : x
  2. Step 2: Convert to fraction form
    823.20/1,234.72 = 498.48/x
  3. Step 3: Cross multiply
    823.20x = 1,234.72 × 498.48
  4. Step 4: Simplify right side
    823.20x = 615,483.23
  5. Step 5: Solve for x
    x = 615,483.23/823.20
  6. Step 6: Final answer
    x = 747.67

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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.