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Finding the Fourth Proportional to 823.64, 1,233.36 and 619.52

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Solution

The fourth proportional to 823.64, 1,233.36 and 619.52 is: 927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.64 : 1,233.36 = 619.52 : x
  2. Step 2: Convert to fraction form
    823.64/1,233.36 = 619.52/x
  3. Step 3: Cross multiply
    823.64x = 1,233.36 × 619.52
  4. Step 4: Simplify right side
    823.64x = 764,085.02
  5. Step 5: Solve for x
    x = 764,085.02/823.64
  6. Step 6: Final answer
    x = 927.70

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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.