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Finding the Fourth Proportional to 823.94, 1,235.30 and 499.23

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Solution

The fourth proportional to 823.94, 1,235.30 and 499.23 is: 748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.94 : 1,235.30 = 499.23 : x
  2. Step 2: Convert to fraction form
    823.94/1,235.30 = 499.23/x
  3. Step 3: Cross multiply
    823.94x = 1,235.30 × 499.23
  4. Step 4: Simplify right side
    823.94x = 616,699.13
  5. Step 5: Solve for x
    x = 616,699.13/823.94
  6. Step 6: Final answer
    x = 748.48

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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.