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Finding the Fourth Proportional to 823.75, 1,235.63 and 310.75

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Solution

The fourth proportional to 823.75, 1,235.63 and 310.75 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.75 : 1,235.63 = 310.75 : x
  2. Step 2: Convert to fraction form
    823.75/1,235.63 = 310.75/x
  3. Step 3: Cross multiply
    823.75x = 1,235.63 × 310.75
  4. Step 4: Simplify right side
    823.75x = 383,972.02
  5. Step 5: Solve for x
    x = 383,972.02/823.75
  6. Step 6: Final answer
    x = 466.13

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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.