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Finding the Fourth Proportional to 823.68, 1,235.48 and 498.96

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Solution

The fourth proportional to 823.68, 1,235.48 and 498.96 is: 748.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.68 : 1,235.48 = 498.96 : x
  2. Step 2: Convert to fraction form
    823.68/1,235.48 = 498.96/x
  3. Step 3: Cross multiply
    823.68x = 1,235.48 × 498.96
  4. Step 4: Simplify right side
    823.68x = 616,455.10
  5. Step 5: Solve for x
    x = 616,455.10/823.68
  6. Step 6: Final answer
    x = 748.42

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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.