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Finding the Fourth Proportional to 823.47, 1,234.60 and 498.76

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Solution

The fourth proportional to 823.47, 1,234.60 and 498.76 is: 747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.47 : 1,234.60 = 498.76 : x
  2. Step 2: Convert to fraction form
    823.47/1,234.60 = 498.76/x
  3. Step 3: Cross multiply
    823.47x = 1,234.60 × 498.76
  4. Step 4: Simplify right side
    823.47x = 615,769.10
  5. Step 5: Solve for x
    x = 615,769.10/823.47
  6. Step 6: Final answer
    x = 747.77

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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.