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Finding the Fourth Proportional to 823.73, 1,235.88 and 412.79

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Solution

The fourth proportional to 823.73, 1,235.88 and 412.79 is: 619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.73 : 1,235.88 = 412.79 : x
  2. Step 2: Convert to fraction form
    823.73/1,235.88 = 412.79/x
  3. Step 3: Cross multiply
    823.73x = 1,235.88 × 412.79
  4. Step 4: Simplify right side
    823.73x = 510,152.73
  5. Step 5: Solve for x
    x = 510,152.73/823.73
  6. Step 6: Final answer
    x = 619.32

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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.