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Finding the Fourth Proportional to 1,216.38, 1,825.08 and 523.20

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Solution

The fourth proportional to 1,216.38, 1,825.08 and 523.20 is: 785.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.38 : 1,825.08 = 523.20 : x
  2. Step 2: Convert to fraction form
    1,216.38/1,825.08 = 523.20/x
  3. Step 3: Cross multiply
    1,216.38x = 1,825.08 × 523.20
  4. Step 4: Simplify right side
    1,216.38x = 954,881.86
  5. Step 5: Solve for x
    x = 954,881.86/1,216.38
  6. Step 6: Final answer
    x = 785.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.