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Finding the Fourth Proportional to 823.37, 1,232.89 and 456.30

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Solution

The fourth proportional to 823.37, 1,232.89 and 456.30 is: 683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.37 : 1,232.89 = 456.30 : x
  2. Step 2: Convert to fraction form
    823.37/1,232.89 = 456.30/x
  3. Step 3: Cross multiply
    823.37x = 1,232.89 × 456.30
  4. Step 4: Simplify right side
    823.37x = 562,566.57
  5. Step 5: Solve for x
    x = 562,566.57/823.37
  6. Step 6: Final answer
    x = 683.25

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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.