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Finding the Fourth Proportional to 823.50, 1,237.32 and 476.82

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Solution

The fourth proportional to 823.50, 1,237.32 and 476.82 is: 716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,237.32 = 476.82 : x
  2. Step 2: Convert to fraction form
    823.50/1,237.32 = 476.82/x
  3. Step 3: Cross multiply
    823.50x = 1,237.32 × 476.82
  4. Step 4: Simplify right side
    823.50x = 589,978.92
  5. Step 5: Solve for x
    x = 589,978.92/823.50
  6. Step 6: Final answer
    x = 716.43

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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.